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href="#Similarities_with_C#"> <div class="vector-toc-text"> 5.1 Similarities with C# </div> </a> <ul id="toc-Similarities_with_C#-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Similarities_with_F#" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Similarities_with_F#"> <div class="vector-toc-text"> 5.2 Similarities with F# </div> </a> <ul id="toc-Similarities_with_F#-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Differences" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Differences"> <div class="vector-toc-text"> 5.3 Differences </div> </a> <ul id="toc-Differences-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Example" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Example"> <div class="vector-toc-text"> 6 Example </div> </a> <ul id="toc-Example-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> 7 References </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> 8 External links </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Table of Contents" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" 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class="interlanguage-link-target">Deutsch</a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Q_Sharp" title="Q Sharp – Spanish" lang="es" hreflang="es" data-title="Q Sharp" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target">Español</a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Q_Sharp" title="Q Sharp – French" lang="fr" hreflang="fr" data-title="Q Sharp" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target">Français</a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/Q_%EC%83%A4%ED%94%84" title="Q 샤프 – Korean" lang="ko" hreflang="ko" data-title="Q 샤프" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target">한국어</a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a 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data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Programming lang. for quantum algorithms</div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable plainlinks selfreference noprint">The correct title of this article is Q# (programming language). The substitution of the <a href="/wiki/Number_sign" title="Number sign">#</a> is due to <a href="/wiki/Wikipedia:Naming_conventions_(technical_restrictions)#Clashes_with_wiki_markup/HTML_syntax" title="Wikipedia:Naming conventions (technical restrictions)">technical restrictions</a>.</div> <style data-mw-deduplicate="TemplateStyles:r1251242444">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}</style><table class="box-Independent_sources plainlinks metadata ambox ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><a href="/wiki/File:Question_book-new.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/50px-Question_book-new.svg.png" decoding="async" width="50" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/75px-Question_book-new.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/100px-Question_book-new.svg.png 2x" data-file-width="512" data-file-height="399" /></a></div></td><td class="mbox-text"><div class="mbox-text-span">This article may rely excessively on sources <a href="/wiki/Wikipedia:Verifiability#Self-published_sources" title="Wikipedia:Verifiability">too closely associated with the subject</a>, potentially preventing the article from being <a href="/wiki/Wikipedia:Verifiability" title="Wikipedia:Verifiability">verifiable</a> and <a href="/wiki/Wikipedia:Neutral_point_of_view" title="Wikipedia:Neutral point of view">neutral</a>. Please help <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Q_Sharp&action=edit">improve it</a> by replacing them with more appropriate <a href="/wiki/Wikipedia:Citing_sources" title="Wikipedia:Citing sources">citations</a> to <a href="/wiki/Wikipedia:Independent_sources" title="Wikipedia:Independent sources">reliable, independent sources</a>. (September 2018) (<a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a>)</div></td></tr></tbody></table> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox vevent"><caption class="infobox-title summary">Q#</caption><tbody><tr><th scope="row" class="infobox-label"><a href="/wiki/Programming_paradigm" title="Programming paradigm">Paradigm</a></th><td class="infobox-data"><a href="/wiki/Quantum_programming" title="Quantum programming">Quantum</a>, <a href="/wiki/Functional_programming" title="Functional programming">functional</a>, <a href="/wiki/Imperative_programming" title="Imperative programming">imperative</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Software_design" title="Software design">Designed by</a></th><td class="infobox-data"><a href="/wiki/Microsoft_Research" title="Microsoft Research">Microsoft Research</a> (quantum architectures and computation group; QuArC)</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Software_developer" class="mw-redirect" title="Software developer">Developer</a></th><td class="infobox-data organiser"><a href="/wiki/Microsoft" title="Microsoft">Microsoft</a></td></tr><tr><th scope="row" class="infobox-label">First appeared</th><td class="infobox-data">December 11, 2017 (2017-12-11)<a href="#cite_note-AT_Q#-1">[1]</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Type_system" title="Type system">Typing discipline</a></th><td class="infobox-data"><a href="/wiki/Static_typing" class="mw-redirect" title="Static typing">Static</a>, <a href="/wiki/Strong_and_weak_typing" title="Strong and weak typing">strong</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Computing_platform" title="Computing platform">Platform</a></th><td class="infobox-data"><a href="/wiki/Common_Language_Infrastructure" title="Common Language Infrastructure">Common Language Infrastructure</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Software_license" title="Software license">License</a></th><td class="infobox-data"><a href="/wiki/MIT_License" title="MIT License">MIT License</a><a href="#cite_note-2">[2]</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Filename_extension" title="Filename extension">Filename extensions</a></th><td class="infobox-data">.qs</td></tr><tr><th scope="row" class="infobox-label">Website</th><td class="infobox-data"><a rel="nofollow" class="external text" href="https://learn.microsoft.com/en-us/azure/quantum/">learn.microsoft.com/en-us/azure/quantum/</a></td></tr><tr><th colspan="2" class="infobox-header" style="background-color: #eee;">Influenced by</th></tr><tr><td colspan="2" class="infobox-full-data"><a href="/wiki/C_Sharp_(programming_language)" title="C Sharp (programming language)">C#</a>, <a href="/wiki/F_Sharp_(programming_language)" title="F Sharp (programming language)">F#</a>, <a href="/wiki/Python_(programming_language)" title="Python (programming language)">Python</a></td></tr></tbody></table> Q# (pronounced Q sharp) is a <a href="/wiki/Domain-specific_language" title="Domain-specific language">domain-specific programming language</a> used for expressing <a href="/wiki/Quantum_algorithm" title="Quantum algorithm">quantum algorithms</a>.<a href="#cite_note-:1-3">[3]</a> It was initially released to the public by <a href="/wiki/Microsoft" title="Microsoft">Microsoft</a> as part of the Quantum Development Kit.<a href="#cite_note-:0-4">[4]</a> Q# works in conjunction with classical languages such as C#, Python and F#, and is designed to allow the use of traditional programming concepts in quantum computing, including functions with variables and branches as well as a syntax-highlighted development environment with a quantum debugger.<a href="#cite_note-AT_Q#-1">[1]</a><a href="#cite_note-AT_Ignite-5">[5]</a><a href="#cite_note-6">[6]</a> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="History">History</h2>[<a href="/w/index.php?title=Q_Sharp&action=edit&section=1" title="Edit section: History">edit</a>]</div> Historically, <a href="/wiki/Microsoft_Research" title="Microsoft Research">Microsoft Research</a> had two teams interested in quantum computing: the QuArC team based in Redmond, Washington,<a href="#cite_note-7">[7]</a> directed by <a href="/wiki/Krysta_Svore" title="Krysta Svore">Krysta Svore</a>, that explored the construction of quantum circuitry, and Station Q initially located in <a href="/wiki/Santa_Barbara,_California" title="Santa Barbara, California">Santa Barbara</a> and directed by <a href="/wiki/Michael_Freedman" title="Michael Freedman">Michael Freedman</a>, that explored <a href="/wiki/Topological_quantum_computing" class="mw-redirect" title="Topological quantum computing">topological quantum computing</a>.<a href="#cite_note-8">[8]</a><a href="#cite_note-9">[9]</a> During a <a href="/wiki/Microsoft_Ignite" title="Microsoft Ignite">Microsoft Ignite</a> Keynote on September 26, 2017, Microsoft announced that they were going to release a new programming language geared specifically towards quantum computers.<a href="#cite_note-10">[10]</a> On December 11, 2017, Microsoft released Q# as a part of the Quantum Development Kit.<a href="#cite_note-:0-4">[4]</a> At <a href="/wiki/Build_2019" class="mw-redirect" title="Build 2019">Build 2019</a>, Microsoft announced that it would be open-sourcing the Quantum Development Kit, including its Q# <a href="/wiki/Compiler" title="Compiler">compilers</a> and simulators.<a href="#cite_note-11">[11]</a> To support Q#, Microsoft developed Quantum Intermediate Representation (QIR) in 2023 as a common interface between programming languages and target quantum processors. The company also announced a compiler extension that generates QIR from Q#.<a href="#cite_note-QIR-12">[12]</a> <a href="/wiki/Bettina_Heim" title="Bettina Heim">Bettina Heim</a> currently leads the Q# language development effort.<a href="#cite_note-13">[13]</a><a href="#cite_note-14">[14]</a> <div class="mw-heading mw-heading2"><h2 id="Usage">Usage</h2>[<a href="/w/index.php?title=Q_Sharp&action=edit&section=2" title="Edit section: Usage">edit</a>]</div> Q# is available as a separately downloaded extension for <a href="/wiki/Visual_Studio" title="Visual Studio">Visual Studio</a>,<a href="#cite_note-15">[15]</a> but it can also be run as an independent tool from the <a href="/wiki/Command_line" class="mw-redirect" title="Command line">command line</a> or Visual Studio Code. Q# was introduced on Windows and is available on MacOS and Linux.<a href="#cite_note-16">[16]</a> The Quantum Development Kit includes a <a href="/wiki/Quantum_simulator" title="Quantum simulator">quantum simulator</a> capable of running Q# and simulated 30 logical qubits.<a href="#cite_note-17">[17]</a><a href="#cite_note-18">[18]</a> In order to invoke the quantum simulator, another <a href="/wiki/.NET_Framework" title=".NET Framework">.NET programming language</a>, usually <a href="/wiki/C_Sharp_(programming_language)" title="C Sharp (programming language)">C#</a>, is used, which provides the (classical) input data for the simulator and reads the (classical) output data from the simulator.<a href="#cite_note-19">[19]</a> <div class="mw-heading mw-heading2"><h2 id="Features">Features</h2>[<a href="/w/index.php?title=Q_Sharp&action=edit&section=3" title="Edit section: Features">edit</a>]</div> A primary feature of Q# is the ability to create and use <a href="/wiki/Qubit" title="Qubit">qubits</a> for algorithms. As a consequence, some of the most prominent features of Q# are the ability to <a href="/wiki/Quantum_entanglement" title="Quantum entanglement">entangle</a> and introduce <a href="/wiki/Quantum_superposition" title="Quantum superposition">superpositioning</a> to qubits via <a href="/wiki/Controlled_NOT_gate" title="Controlled NOT gate">controlled NOT gates</a> and <a href="/wiki/Hadamard_gate" class="mw-redirect" title="Hadamard gate">Hadamard gates</a>, respectively, as well as <a href="/wiki/Toffoli_gate" title="Toffoli gate">Toffoli Gates</a>, <a href="/wiki/Pauli_matrices" title="Pauli matrices">Pauli X, Y, Z Gate</a>, and many more which are used for a variety of operations (See <a href="/wiki/Quantum_logic_gate" title="Quantum logic gate">quantum logic gates</a>).[<a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed">citation needed</a>] The hardware stack that will eventually come together with Q# is expected to implement Qubits as <a href="/wiki/Topological_quantum_computer" title="Topological quantum computer">topological qubits</a>. The quantum simulator that is shipped with the Quantum Development Kit today is capable of processing up to 32 qubits on a user machine and up to 40 qubits on <a href="/wiki/Microsoft_Azure" title="Microsoft Azure">Azure</a>.<a href="#cite_note-20">[20]</a> <div class="mw-heading mw-heading2"><h2 id="Documentation_and_resources">Documentation and resources</h2>[<a href="/w/index.php?title=Q_Sharp&action=edit&section=4" title="Edit section: Documentation and resources">edit</a>]</div> Currently, the resources available for Q# are scarce, but the official documentation is published: <a rel="nofollow" class="external text" href="https://docs.microsoft.com/en-us/quantum/?view=qsharp-preview">Microsoft Developer Network: Q#</a>. <a rel="nofollow" class="external text" href="https://github.com/Microsoft/Quantum/">Microsoft Quantum Github repository</a> is also a large collection of sample programs implementing a variety of Quantum algorithms and their tests. Microsoft has also hosted a Quantum Coding contest on <a href="/wiki/Codeforces" title="Codeforces">Codeforces</a>, called <a rel="nofollow" class="external text" href="https://web.archive.org/web/20181119064628/https://codeforces.com/msqs2018">Microsoft Q# Coding Contest - Codeforces</a>, and also provided related material to help answer the questions in the blog posts, plus the detailed solutions in the tutorials. Microsoft hosts a set of learning exercises to help learn Q# on GitHub: <a rel="nofollow" class="external text" href="https://github.com/Microsoft/QuantumKatas">microsoft/QuantumKatas</a> with links to resources, and answers to the problems. <div class="mw-heading mw-heading2"><h2 id="Syntax">Syntax</h2>[<a href="/w/index.php?title=Q_Sharp&action=edit&section=5" title="Edit section: Syntax">edit</a>]</div> Q# is syntactically related to both <a href="/wiki/C_Sharp_(programming_language)" title="C Sharp (programming language)">C#</a> and <a href="/wiki/F_Sharp_(programming_language)" title="F Sharp (programming language)">F#</a> yet also has some significant differences. <div class="mw-heading mw-heading3"><h3 id="Similarities_with_C#">Similarities with C#</h3>[<a href="/w/index.php?title=Q_Sharp&action=edit&section=6" title="Edit section: Similarities with C#">edit</a>]</div> <ul><li>Uses <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">namespace</code> for code isolation</li> <li>All statements end with a <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">;</code></li> <li>Curly braces are used for statements of scope</li> <li><a href="/wiki/Comment_(computer_programming)#Line_comments" title="Comment (computer programming)">Single line comments</a> are done using <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">//</code></li> <li>Variable data types such as <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">Int</code> <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">Double</code> <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">String</code> and <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">Bool</code> are similar, although capitalised (and Int is 64-bit)<a href="#cite_note-21">[21]</a></li> <li>Qubits are allocated and disposed inside a <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">using</code> block.</li> <li><a href="/wiki/Lambda_function_(computer_programming)" class="mw-redirect" title="Lambda function (computer programming)">Lambda functions</a> are defined using the <code>=></code> operator.</li> <li>Results are returned using the <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">return</code> keyword.</li></ul> <div class="mw-heading mw-heading3"><h3 id="Similarities_with_F#">Similarities with F#</h3>[<a href="/w/index.php?title=Q_Sharp&action=edit&section=7" title="Edit section: Similarities with F#">edit</a>]</div> <ul><li>Variables are declared using either <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">let</code> or <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">mutable</code><a href="#cite_note-:1-3">[3]</a></li> <li><a href="/wiki/First-order_function" class="mw-redirect" title="First-order function">First-order functions</a></li> <li>Modules, which are imported using the <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">open</code> keyword</li> <li>The datatype is declared after the variable name</li> <li>The range operator <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">..</code></li> <li><code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">for … in</code> loops</li> <li>Every operation/function has a return value, rather than <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">void</code>. Instead of <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">void</code>, an empty <a href="/wiki/Tuple" title="Tuple">Tuple</a> <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">()</code> is returned.</li> <li>Definition of record datatypes (using the <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">newtype</code> keyword, instead of <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">type</code>).</li></ul> <div class="mw-heading mw-heading3"><h3 id="Differences">Differences</h3>[<a href="/w/index.php?title=Q_Sharp&action=edit&section=8" title="Edit section: Differences">edit</a>]</div> <ul><li>Functions are declared using the <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">function</code> keyword</li> <li>Operations on the quantum computer are declared using the <code class="mw-highlight mw-highlight-lang-text mw-content-ltr" style="" dir="ltr">operation</code> keyword</li> <li>Lack of multiline comments</li> <li>Asserts instead of throwing exceptions</li> <li>Documentation is written in <a href="/wiki/Markdown" title="Markdown">Markdown</a> instead of <a href="/wiki/XML" title="XML">XML</a>-based documentation tags</li></ul> <div class="mw-heading mw-heading2"><h2 id="Example">Example</h2>[<a href="/w/index.php?title=Q_Sharp&action=edit&section=9" title="Edit section: Example">edit</a>]</div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1251242444"><table class="box-Over-quotation plainlinks metadata ambox ambox-style" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/f/f2/Edit-clear.svg/40px-Edit-clear.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/f/f2/Edit-clear.svg/60px-Edit-clear.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/f/f2/Edit-clear.svg/80px-Edit-clear.svg.png 2x" data-file-width="48" data-file-height="48" /></div></td><td class="mbox-text"><div class="mbox-text-span">This section contains <a href="/wiki/Wikipedia:Manual_of_Style#Quotations" title="Wikipedia:Manual of Style">too many or overly lengthy quotations</a>. Please help <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Q_Sharp&action=edit">summarize the quotations</a>. Consider transferring direct quotations to <a href="https://en.wikiquote.org/wiki/Special:Search/Q_Sharp" class="extiw" title="q:Special:Search/Q Sharp">Wikiquote</a> or excerpts to <a href="https://en.wikisource.org/wiki/Special:Search/Q_Sharp" class="extiw" title="s:Special:Search/Q Sharp">Wikisource</a>. (January 2025)</div></td></tr></tbody></table> The following source code is a <a href="/wiki/Multiplexer" title="Multiplexer">multiplexer</a> from the official Microsoft Q# library repository. <div class="mw-highlight mw-highlight-lang-c# mw-content-ltr" dir="ltr"><pre>// Copyright (c) Microsoft Corporation. // Licensed under the MIT License. namespace Microsoft.Quantum.Canon { open Microsoft.Quantum.Intrinsic; open Microsoft.Quantum.Arithmetic; open Microsoft.Quantum.Arrays; open Microsoft.Quantum.Diagnostics; open Microsoft.Quantum.Math; /// # Summary /// Applies a multiply-controlled unitary operation $U$ that applies a /// unitary $V_j$ when controlled by n-qubit number state $\ket{j}$. /// /// $U = \sum^{N-1}_{j=0}\ket{j}\bra{j}\otimes V_j$. /// /// # Input /// ## unitaryGenerator /// A tuple where the first element `Int` is the number of unitaries $N$, /// and the second element `(Int -> ('T => () is Adj + Ctl))` /// is a function that takes an integer $j$ in $[0,N-1]$ and outputs the unitary /// operation $V_j$. /// /// ## index /// $n$-qubit control register that encodes number states $\ket{j}$ in /// little-endian format. /// /// ## target /// Generic qubit register that $V_j$ acts on. /// /// # Remarks /// `coefficients` will be padded with identity elements if /// fewer than $2^n$ are specified. This implementation uses /// $n-1$ auxiliary qubits. /// /// # References /// - [ *Andrew M. Childs, Dmitri Maslov, Yunseong Nam, Neil J. Ross, Yuan Su*, /// arXiv:1711.10980](https://arxiv.org/abs/1711.10980) operation MultiplexOperationsFromGenerator<'T>(unitaryGenerator : (Int, (Int -> ('T => Unit is Adj + Ctl))), index: LittleEndian, target: 'T) : Unit is Ctl + Adj { let (nUnitaries, unitaryFunction) = unitaryGenerator; let unitaryGeneratorWithOffset = (nUnitaries, 0, unitaryFunction); if Length(index!) == 0 { fail "MultiplexOperations failed. Number of index qubits must be greater than 0."; } if nUnitaries > 0 { let auxiliary = []; Adjoint MultiplexOperationsFromGeneratorImpl(unitaryGeneratorWithOffset, auxiliary, index, target); } } /// # Summary /// Implementation step of `MultiplexOperationsFromGenerator`. /// # See Also /// - Microsoft.Quantum.Canon.MultiplexOperationsFromGenerator internal operation MultiplexOperationsFromGeneratorImpl<'T>(unitaryGenerator : (Int, Int, (Int -> ('T => Unit is Adj + Ctl))), auxiliary: Qubit[], index: LittleEndian, target: 'T) : Unit { body (...) { let nIndex = Length(index!); let nStates = 2^nIndex; let (nUnitaries, unitaryOffset, unitaryFunction) = unitaryGenerator; let nUnitariesLeft = MinI(nUnitaries, nStates / 2); let nUnitariesRight = MinI(nUnitaries, nStates); let leftUnitaries = (nUnitariesLeft, unitaryOffset, unitaryFunction); let rightUnitaries = (nUnitariesRight - nUnitariesLeft, unitaryOffset + nUnitariesLeft, unitaryFunction); let newControls = LittleEndian(Most(index!)); if nUnitaries > 0 { if Length(auxiliary) == 1 and nIndex == 0 { // Termination case (Controlled Adjoint (unitaryFunction(unitaryOffset)))(auxiliary, target); } elif Length(auxiliary) == 0 and nIndex >= 1 { // Start case let newauxiliary = Tail(index!); if nUnitariesRight > 0 { MultiplexOperationsFromGeneratorImpl(rightUnitaries, [newauxiliary], newControls, target); } within { X(newauxiliary); } apply { MultiplexOperationsFromGeneratorImpl(leftUnitaries, [newauxiliary], newControls, target); } } else { // Recursion that reduces nIndex by 1 and sets Length(auxiliary) to 1. let controls = [Tail(index!)] + auxiliary; use newauxiliary = Qubit(); use andauxiliary = Qubit[MaxI(0, Length(controls) - 2)]; within { ApplyAndChain(andauxiliary, controls, newauxiliary); } apply { if nUnitariesRight > 0 { MultiplexOperationsFromGeneratorImpl(rightUnitaries, [newauxiliary], newControls, target); } within { (Controlled X)(auxiliary, newauxiliary); } apply { MultiplexOperationsFromGeneratorImpl(leftUnitaries, [newauxiliary], newControls, target); } } } } } adjoint auto; controlled (controlRegister, ...) { MultiplexOperationsFromGeneratorImpl(unitaryGenerator, auxiliary + controlRegister, index, target); } adjoint controlled auto; } /// # Summary /// Applies multiply-controlled unitary operation $U$ that applies a /// unitary $V_j$ when controlled by n-qubit number state $\ket{j}$. /// /// $U = \sum^{N-1}_{j=0}\ket{j}\bra{j}\otimes V_j$. /// /// # Input /// ## unitaryGenerator /// A tuple where the first element `Int` is the number of unitaries $N$, /// and the second element `(Int -> ('T => () is Adj + Ctl))` /// is a function that takes an integer $j$ in $[0,N-1]$ and outputs the unitary /// operation $V_j$. /// /// ## index /// $n$-qubit control register that encodes number states $\ket{j}$ in /// little-endian format. /// /// ## target /// Generic qubit register that $V_j$ acts on. /// /// # Remarks /// `coefficients` will be padded with identity elements if /// fewer than $2^n$ are specified. This version is implemented /// directly by looping through n-controlled unitary operators. operation MultiplexOperationsBruteForceFromGenerator<'T>(unitaryGenerator : (Int, (Int -> ('T => Unit is Adj + Ctl))), index: LittleEndian, target: 'T) : Unit is Adj + Ctl { let nIndex = Length(index!); let nStates = 2^nIndex; let (nUnitaries, unitaryFunction) = unitaryGenerator; for idxOp in 0..MinI(nStates,nUnitaries) - 1 { (ControlledOnInt(idxOp, unitaryFunction(idxOp)))(index!, target); } } /// # Summary /// Returns a multiply-controlled unitary operation $U$ that applies a /// unitary $V_j$ when controlled by n-qubit number state $\ket{j}$. /// /// $U = \sum^{2^n-1}_{j=0}\ket{j}\bra{j}\otimes V_j$. /// /// # Input /// ## unitaryGenerator /// A tuple where the first element `Int` is the number of unitaries $N$, /// and the second element `(Int -> ('T => () is Adj + Ctl))` /// is a function that takes an integer $j$ in $[0,N-1]$ and outputs the unitary /// operation $V_j$. /// /// # Output /// A multiply-controlled unitary operation $U$ that applies unitaries /// described by `unitaryGenerator`. /// /// # See Also /// - Microsoft.Quantum.Canon.MultiplexOperationsFromGenerator function MultiplexerFromGenerator(unitaryGenerator : (Int, (Int -> (Qubit[] => Unit is Adj + Ctl)))) : ((LittleEndian, Qubit[]) => Unit is Adj + Ctl) { return MultiplexOperationsFromGenerator(unitaryGenerator, _, _); } /// # Summary /// Returns a multiply-controlled unitary operation $U$ that applies a /// unitary $V_j$ when controlled by n-qubit number state $\ket{j}$. /// /// $U = \sum^{2^n-1}_{j=0}\ket{j}\bra{j}\otimes V_j$. /// /// # Input /// ## unitaryGenerator /// A tuple where the first element `Int` is the number of unitaries $N$, /// and the second element `(Int -> ('T => () is Adj + Ctl))` /// is a function that takes an integer $j$ in $[0,N-1]$ and outputs the unitary /// operation $V_j$. /// /// # Output /// A multiply-controlled unitary operation $U$ that applies unitaries /// described by `unitaryGenerator`. /// /// # See Also /// - Microsoft.Quantum.Canon.MultiplexOperationsBruteForceFromGenerator function MultiplexerBruteForceFromGenerator(unitaryGenerator : (Int, (Int -> (Qubit[] => Unit is Adj + Ctl)))) : ((LittleEndian, Qubit[]) => Unit is Adj + Ctl) { return MultiplexOperationsBruteForceFromGenerator(unitaryGenerator, _, _); } /// # Summary /// Computes a chain of AND gates /// /// # Description /// The auxiliary qubits to compute temporary results must be specified explicitly. /// The length of that register is `Length(ctrlRegister) - 2`, if there are at least /// two controls, otherwise the length is 0. internal operation ApplyAndChain(auxRegister : Qubit[], ctrlRegister : Qubit[], target : Qubit) : Unit is Adj { if Length(ctrlRegister) == 0 { X(target); } elif Length(ctrlRegister) == 1 { CNOT(Head(ctrlRegister), target); } else { EqualityFactI(Length(auxRegister), Length(ctrlRegister)); let controls1 = ctrlRegister[0..0] + auxRegister; let controls2 = Rest(ctrlRegister); let targets = auxRegister + [target]; ApplyToEachA(ApplyAnd, Zipped3(controls1, controls2, targets)); } } } </pre></div> <div class="mw-heading mw-heading2"><h2 id="References">References</h2>[<a href="/w/index.php?title=Q_Sharp&action=edit&section=10" title="Edit section: References">edit</a>]</div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-AT_Q#-1">^ <a href="#cite_ref-AT_Q#_1-0">a</a> <a href="#cite_ref-AT_Q#_1-1">b</a> <style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://arstechnica.com/gadgets/2017/12/microsofts-q-quantum-programming-language-out-now-in-preview/">"Microsoft's Q# quantum programming language out now in preview"</a>. 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CIO.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=CIO&rft.atitle=Microsoft+previews+quantum+computing+development+kit&rft_id=https%3A%2F%2Fwww2.cio.com.au%2Farticle%2F631142%2Fmicrosoft-previews-quantum-computing-development-kit%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AQ+Sharp" class="Z3988"> </li> <li id="cite_note-21"><a href="#cite_ref-21">^</a> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://docs.microsoft.com/en-us/quantum/user-guide/language/types">"Types in Q# - Microsoft Quantum"</a>. docs.microsoft.com. 27 July 2022.</cite><span 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abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Quantum_information" title="Template:Quantum information"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Quantum_information" title="Template talk:Quantum information"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Quantum_information" title="Special:EditPage/Template:Quantum information"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Quantum_information_science667" style="font-size:114%;margin:0 4em"><a href="/wiki/Quantum_information_science" title="Quantum information science">Quantum information science</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">General</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/DiVincenzo%27s_criteria" title="DiVincenzo's criteria">DiVincenzo's criteria</a></li> <li><a href="/wiki/Noisy_intermediate-scale_quantum_era" title="Noisy intermediate-scale quantum era">NISQ era</a></li> <li><a href="/wiki/Quantum_computing" title="Quantum computing">Quantum computing</a> <ul><li><a href="/wiki/Timeline_of_quantum_computing_and_communication" title="Timeline of quantum computing and communication">timeline</a></li></ul></li> <li><a href="/wiki/Quantum_information" title="Quantum information">Quantum information</a></li> <li><a href="/wiki/Quantum_programming" title="Quantum programming">Quantum programming</a></li> <li><a href="/wiki/Quantum_simulator" title="Quantum simulator">Quantum simulation</a></li> <li><a href="/wiki/Qubit" title="Qubit">Qubit</a> <ul><li><a href="/wiki/Physical_and_logical_qubits" title="Physical and logical qubits">physical vs. logical</a></li></ul></li> <li><a href="/wiki/List_of_quantum_processors" title="List of quantum processors">Quantum processors</a> <ul><li><a href="/wiki/Cloud-based_quantum_computing" title="Cloud-based quantum computing">cloud-based</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Theorems</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bell%27s_theorem" title="Bell's theorem">Bell's</a></li> <li><a href="/wiki/Eastin%E2%80%93Knill_theorem" title="Eastin–Knill theorem">Eastin–Knill</a></li> <li><a href="/wiki/Gleason%27s_theorem" title="Gleason's theorem">Gleason's</a></li> <li><a href="/wiki/Gottesman%E2%80%93Knill_theorem" title="Gottesman–Knill theorem">Gottesman–Knill</a></li> <li><a href="/wiki/Holevo%27s_theorem" title="Holevo's theorem">Holevo's</a></li> <li><a href="/wiki/No-broadcasting_theorem" title="No-broadcasting theorem">No-broadcasting</a></li> <li><a href="/wiki/No-cloning_theorem" title="No-cloning theorem">No-cloning</a></li> <li><a href="/wiki/No-communication_theorem" title="No-communication theorem">No-communication</a></li> <li><a href="/wiki/No-deleting_theorem" title="No-deleting theorem">No-deleting</a></li> <li><a href="/wiki/No-hiding_theorem" title="No-hiding theorem">No-hiding</a></li> <li><a href="/wiki/No-teleportation_theorem" title="No-teleportation theorem">No-teleportation</a></li> <li><a href="/wiki/PBR_theorem" class="mw-redirect" title="PBR theorem">PBR</a></li> <li><a href="/wiki/Quantum_speed_limit_theorems" class="mw-redirect" title="Quantum speed limit theorems">Quantum speed limit</a></li> <li><a href="/wiki/Threshold_theorem" title="Threshold theorem">Threshold</a></li> <li><a href="/wiki/Solovay%E2%80%93Kitaev_theorem" title="Solovay–Kitaev theorem">Solovay–Kitaev</a></li> <li><a href="/wiki/Schr%C3%B6dinger%E2%80%93HJW_theorem" title="Schrödinger–HJW theorem">Purification</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Quantum communication</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Classical_capacity" title="Classical capacity">Classical capacity</a> <ul><li><a href="/wiki/Entanglement-assisted_classical_capacity" title="Entanglement-assisted classical capacity">entanglement-assisted</a></li> <li><a href="/wiki/Quantum_capacity" title="Quantum capacity">quantum capacity</a></li></ul></li> <li><a href="/wiki/Entanglement_distillation" title="Entanglement distillation">Entanglement distillation</a></li> <li><a href="/wiki/Entanglement_swapping" title="Entanglement swapping">Entanglement swapping</a></li> <li><a href="/wiki/Monogamy_of_entanglement" title="Monogamy of entanglement">Monogamy of entanglement</a></li> <li><a href="/wiki/LOCC" title="LOCC">LOCC</a></li> <li><a href="/wiki/Quantum_channel" title="Quantum channel">Quantum channel</a> <ul><li><a href="/wiki/Quantum_network" title="Quantum network">quantum network</a></li></ul></li> <li><a href="/wiki/Quantum_teleportation" title="Quantum teleportation">Quantum teleportation</a> <ul><li><a href="/wiki/Quantum_gate_teleportation" title="Quantum gate teleportation">quantum gate teleportation</a></li></ul></li> <li><a href="/wiki/Superdense_coding" title="Superdense coding">Superdense coding</a></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Quantum_cryptography24" scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Quantum_cryptography" title="Quantum cryptography">Quantum cryptography</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Post-quantum_cryptography" title="Post-quantum cryptography">Post-quantum cryptography</a></li> <li><a href="/wiki/Quantum_coin_flipping" title="Quantum coin flipping">Quantum coin flipping</a></li> <li><a href="/wiki/Quantum_money" title="Quantum money">Quantum money</a></li> <li><a href="/wiki/Quantum_key_distribution" title="Quantum key distribution">Quantum key distribution</a> <ul><li><a href="/wiki/BB84" title="BB84">BB84</a></li> <li><a href="/wiki/SARG04" title="SARG04">SARG04</a></li> <li><a href="/wiki/List_of_quantum_key_distribution_protocols" title="List of quantum key distribution protocols">other protocols</a></li></ul></li> <li><a href="/wiki/Quantum_secret_sharing" title="Quantum secret sharing">Quantum secret sharing</a></li></ul> </div></td></tr></tbody></table><div> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Quantum_algorithm" title="Quantum algorithm">Quantum algorithms</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Amplitude_amplification" title="Amplitude amplification">Amplitude amplification</a></li> <li><a href="/wiki/Bernstein%E2%80%93Vazirani_algorithm" title="Bernstein–Vazirani algorithm">Bernstein–Vazirani</a></li> <li><a href="/wiki/BHT_algorithm" title="BHT algorithm">BHT</a></li> <li><a href="/wiki/Boson_sampling" title="Boson sampling">Boson sampling</a></li> <li><a href="/wiki/Deutsch%E2%80%93Jozsa_algorithm" title="Deutsch–Jozsa algorithm">Deutsch–Jozsa</a></li> <li><a href="/wiki/Grover%27s_algorithm" title="Grover's algorithm">Grover's</a></li> <li><a href="/wiki/HHL_algorithm" title="HHL algorithm">HHL</a></li> <li><a href="/wiki/Hidden_subgroup_problem" title="Hidden subgroup problem">Hidden subgroup</a></li> <li><a href="/wiki/Quantum_annealing" title="Quantum annealing">Quantum annealing</a></li> <li><a href="/wiki/Quantum_counting_algorithm" title="Quantum counting algorithm">Quantum counting</a></li> <li><a href="/wiki/Quantum_Fourier_transform" title="Quantum Fourier transform">Quantum Fourier transform</a></li> <li><a href="/wiki/Quantum_optimization_algorithms" title="Quantum optimization algorithms">Quantum optimization</a></li> <li><a href="/wiki/Quantum_phase_estimation_algorithm" title="Quantum phase estimation algorithm">Quantum phase estimation</a></li> <li><a href="/wiki/Shor%27s_algorithm" title="Shor's algorithm">Shor's</a></li> <li><a href="/wiki/Simon%27s_problem" title="Simon's problem">Simon's</a></li> <li><a href="/wiki/Variational_quantum_eigensolver" title="Variational quantum eigensolver">VQE</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Quantum_complexity_theory" title="Quantum complexity theory">Quantum complexity theory</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/BQP" title="BQP">BQP</a></li> <li><a href="/wiki/Exact_quantum_polynomial_time" title="Exact quantum polynomial time">EQP</a></li> <li><a href="/wiki/QIP_(complexity)" title="QIP (complexity)">QIP</a></li> <li><a href="/wiki/QMA" title="QMA">QMA</a></li> <li><a href="/wiki/PostBQP" title="PostBQP">PostBQP</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Quantum processor benchmarks</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Quantum_supremacy" title="Quantum supremacy">Quantum supremacy</a></li> <li><a href="/wiki/Quantum_volume" title="Quantum volume">Quantum volume</a></li> <li><a href="/wiki/Randomized_benchmarking" title="Randomized benchmarking">Randomized benchmarking</a> <ul><li><a href="/wiki/Cross-entropy_benchmarking" title="Cross-entropy benchmarking">XEB</a></li></ul></li> <li><a href="/wiki/Relaxation_(NMR)" title="Relaxation (NMR)">Relaxation times</a> <ul><li><a href="/wiki/Spin%E2%80%93lattice_relaxation" title="Spin–lattice relaxation">T1</a></li> <li><a href="/wiki/Spin%E2%80%93spin_relaxation" title="Spin–spin relaxation">T2</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Quantum <a href="/wiki/Model_of_computation" title="Model of computation">computing models</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Adiabatic_quantum_computation" title="Adiabatic quantum computation">Adiabatic quantum computation</a></li> <li><a href="/wiki/Continuous-variable_quantum_information" title="Continuous-variable quantum information">Continuous-variable quantum information</a></li> <li><a href="/wiki/One-way_quantum_computer" title="One-way quantum computer">One-way quantum computer</a> <ul><li><a href="/wiki/Cluster_state" title="Cluster state">cluster state</a></li></ul></li> <li><a href="/wiki/Quantum_circuit" title="Quantum circuit">Quantum circuit</a> <ul><li><a href="/wiki/Quantum_logic_gate" title="Quantum logic gate">quantum logic gate</a></li></ul></li> <li><a href="/wiki/Quantum_machine_learning" title="Quantum machine learning">Quantum machine learning</a> <ul><li><a href="/wiki/Quantum_neural_network" title="Quantum neural network">quantum neural network</a></li></ul></li> <li><a href="/wiki/Quantum_Turing_machine" title="Quantum Turing machine">Quantum Turing machine</a></li> <li><a href="/wiki/Topological_quantum_computer" title="Topological quantum computer">Topological quantum computer</a></li> <li><a href="/wiki/Hamiltonian_quantum_computation" title="Hamiltonian quantum computation">Hamiltonian quantum computation</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Quantum_error_correction" title="Quantum error correction">Quantum error correction</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>Codes <ul><li><a href="/wiki/CSS_code" title="CSS code">CSS</a></li> <li><a href="/wiki/Quantum_convolutional_code" title="Quantum convolutional code">quantum convolutional</a></li> <li><a href="/wiki/Stabilizer_code" title="Stabilizer code">stabilizer</a></li> <li><a href="/wiki/Shor_code" class="mw-redirect" title="Shor code">Shor</a></li> <li><a href="/wiki/Bacon%E2%80%93Shor_code" title="Bacon–Shor code">Bacon–Shor</a></li> <li><a href="/wiki/Steane_code" title="Steane code">Steane</a></li> <li><a href="/wiki/Toric_code" title="Toric code">Toric</a></li> <li><a href="/wiki/Gnu_code" title="Gnu code">gnu</a></li></ul></li> <li><a href="/wiki/Entanglement-assisted_stabilizer_formalism" title="Entanglement-assisted stabilizer formalism">Entanglement-assisted</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Physical implementations</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Quantum_optics" title="Quantum optics">Quantum optics</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Cavity_quantum_electrodynamics" title="Cavity quantum electrodynamics">Cavity QED</a></li> <li><a href="/wiki/Circuit_quantum_electrodynamics" title="Circuit quantum electrodynamics">Circuit QED</a></li> <li><a href="/wiki/Linear_optical_quantum_computing" title="Linear optical quantum computing">Linear optical QC</a></li> <li><a href="/wiki/KLM_protocol" title="KLM protocol">KLM protocol</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ultracold_atom" title="Ultracold atom">Ultracold atoms</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Neutral_atom_quantum_computer" title="Neutral atom quantum computer">Neutral atom QC</a></li> <li><a href="/wiki/Trapped-ion_quantum_computer" title="Trapped-ion quantum computer">Trapped-ion QC</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Spin_(physics)" title="Spin (physics)">Spin</a>-based</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Kane_quantum_computer" title="Kane quantum computer">Kane QC</a></li> <li><a href="/wiki/Spin_qubit_quantum_computer" title="Spin qubit quantum computer">Spin qubit QC</a></li> <li><a href="/wiki/Nitrogen-vacancy_center" title="Nitrogen-vacancy center">NV center</a></li> <li><a href="/wiki/Nuclear_magnetic_resonance_quantum_computer" title="Nuclear magnetic resonance quantum computer">NMR QC</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Superconducting_quantum_computing" title="Superconducting quantum computing">Superconducting</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Charge_qubit" title="Charge qubit">Charge qubit</a></li> <li><a href="/wiki/Flux_qubit" title="Flux qubit">Flux qubit</a></li> <li><a href="/wiki/Phase_qubit" title="Phase qubit">Phase qubit</a></li> <li><a href="/wiki/Transmon" title="Transmon">Transmon</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Quantum_programming" title="Quantum programming">Quantum programming</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/OpenQASM" title="OpenQASM">OpenQASM</a>–<a href="/wiki/Qiskit" title="Qiskit">Qiskit</a>–<a href="/wiki/IBM_Quantum_Experience" class="mw-redirect" title="IBM Quantum Experience">IBM QX</a></li> <li><a href="/wiki/Quil_(instruction_set_architecture)" title="Quil (instruction set architecture)">Quil</a>–<a href="/wiki/Rigetti_Computing" title="Rigetti Computing">Forest/Rigetti QCS</a></li> <li><a href="/wiki/Cirq" title="Cirq">Cirq</a></li> <li><a class="mw-selflink selflink">Q#</a></li> <li><a href="/wiki/Libquantum" title="Libquantum">libquantum</a></li> <li><a href="/wiki/Quantum_programming" title="Quantum programming">many others...</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /> <a href="/wiki/Category:Quantum_information_science" title="Category:Quantum information science">Quantum information science</a></li> <li><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/83/Symbol_template_class_pink.svg/16px-Symbol_template_class_pink.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/83/Symbol_template_class_pink.svg/23px-Symbol_template_class_pink.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/83/Symbol_template_class_pink.svg/31px-Symbol_template_class_pink.svg.png 2x" data-file-width="180" data-file-height="185" /> <a href="/wiki/Template:Quantum_mechanics_topics" title="Template:Quantum mechanics topics">Quantum mechanics topics</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Common_Language_Infrastructure106" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Common_Language_Infrastructure" title="Template:Common Language Infrastructure"><abbr title="View this 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Security">Code Access Security</a></li> <li><a href="/wiki/Common_Intermediate_Language" title="Common Intermediate Language">Common Intermediate Language</a> <ul><li><a href="/wiki/List_of_CIL_instructions" title="List of CIL instructions">instructions</a></li></ul></li> <li><a href="/wiki/Common_Type_System" title="Common Type System">Common Type System</a></li> <li><a href="/wiki/Platform_Invocation_Services" title="Platform Invocation Services">Platform Invocation Services</a></li> <li><a href="/wiki/Virtual_Execution_System" title="Virtual Execution System">Virtual Execution System</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Components</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Assembly_(CLI)" title="Assembly (CLI)">Assembly</a></li> <li><a href="/wiki/Delegate_(CLI)" title="Delegate (CLI)">Delegate</a></li> <li><a href="/wiki/Global_Assembly_Cache" title="Global Assembly Cache">Global Assembly Cache</a></li> <li><a href="/wiki/Manifest_(CLI)" title="Manifest (CLI)">Manifest</a></li> <li><a href="/wiki/Metadata_(CLI)" title="Metadata (CLI)">Metadata</a></li> <li><a href="/wiki/Standard_Libraries_(CLI)" title="Standard Libraries (CLI)">Standard Libraries</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Implementations</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Microsoft</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/.NET" title=".NET">.NET</a></li> <li><a href="/wiki/.NET_Framework" title=".NET Framework">.NET Framework</a></li> <li><a href="/wiki/.NET_Compact_Framework" title=".NET Compact Framework">.NET Compact Framework</a></li> <li><a href="/wiki/.NET_Micro_Framework" title=".NET Micro Framework">.NET Micro Framework</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Mono_(software)" title="Mono (software)">Mono</a></li> <li><a href="/wiki/DotGNU" title="DotGNU">DotGNU</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_CLI_languages" title="List of CLI languages">Languages</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Major languages</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/C_Sharp_(programming_language)" title="C Sharp (programming language)">C#</a></li> <li><a href="/wiki/Visual_Basic_.NET" class="mw-redirect" title="Visual Basic .NET">Visual Basic</a></li> <li><a href="/wiki/F_Sharp_(programming_language)" title="F Sharp (programming language)">F#</a></li> <li><a href="/wiki/PowerShell" title="PowerShell">PowerShell</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Axum_(programming_language)" title="Axum (programming language)">Axum</a></li> <li><a href="/wiki/A_Sharp_(.NET)" title="A Sharp (.NET)">A#</a></li> <li><a href="/wiki/Boo_(programming_language)" title="Boo (programming language)">Boo</a></li> <li><a href="/wiki/Cobra_(programming_language)" title="Cobra (programming language)">Cobra</a></li> <li><a href="/wiki/C%2B%2B/CLI" title="C++/CLI">C++/CLI</a></li> <li><a href="/wiki/IronScheme" title="IronScheme">IronScheme</a></li> <li><a href="/wiki/IronPython" title="IronPython">IronPython</a></li> <li><a href="/wiki/IronRuby" title="IronRuby">IronRuby</a></li> <li><a href="/wiki/JScript_.NET" title="JScript .NET">JScript .NET</a></li> <li><a href="/wiki/Visual_J_Sharp" title="Visual J Sharp">J#</a></li> <li><a href="/wiki/Nemerle" title="Nemerle">Nemerle</a></li> <li><a href="/wiki/Oxygene_(programming_language)" title="Oxygene (programming language)">Oxygene</a></li> <li><a href="/wiki/Phalanger_(compiler)" title="Phalanger (compiler)">Phalanger</a></li> <li><a class="mw-selflink selflink">Q#</a></li> <li><a href="/wiki/Scala_(programming_language)" title="Scala (programming language)">Scala</a></li> <li><a href="/wiki/Microsoft_Small_Basic" title="Microsoft Small Basic">Small Basic</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Comparison</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Comparison_of_C_Sharp_and_Java" title="Comparison of C Sharp and Java">C# and Java</a></li> <li><a href="/wiki/Comparison_of_C_Sharp_and_Visual_Basic_.NET" title="Comparison of C Sharp and Visual Basic .NET">C# and Visual Basic .NET</a></li> <li><a href="/wiki/Comparison_of_Visual_Basic_and_Visual_Basic_.NET" title="Comparison of Visual Basic and Visual Basic .NET">Visual Basic and Visual Basic .NET</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Microsoft_free_and_open-source_software_(FOSS)290" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Microsoft_FOSS" title="Template:Microsoft FOSS"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Microsoft_FOSS" title="Template talk:Microsoft FOSS"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Microsoft_FOSS" title="Special:EditPage/Template:Microsoft FOSS"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Microsoft_free_and_open-source_software_(FOSS)290" style="font-size:114%;margin:0 4em"><a href="/wiki/Microsoft" title="Microsoft">Microsoft</a> <a href="/wiki/Free_and_open-source_software" title="Free and open-source software">free and open-source software (FOSS)</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Overview</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Microsoft_and_open_source" title="Microsoft and open source">Microsoft and open source</a></li> <li><a href="/wiki/Shared_Source_Initiative" title="Shared Source Initiative">Shared Source Initiative</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Software</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Applications</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/3D_Movie_Maker" title="3D Movie Maker">3D Movie Maker</a></li> <li><a href="/wiki/Atom_(text_editor)" title="Atom (text editor)">Atom</a></li> <li><a href="/wiki/Conference_XP" title="Conference XP">Conference XP</a></li> <li><a href="/wiki/Family.Show" title="Family.Show">Family.Show</a></li> <li><a href="/wiki/File_Manager_(Windows)" class="mw-redirect" title="File Manager (Windows)">File Manager</a></li> <li><a href="/wiki/Open_Live_Writer" title="Open Live Writer">Open Live Writer</a></li> <li><a href="/wiki/Microsoft_PowerToys" title="Microsoft PowerToys">Microsoft PowerToys</a></li> <li><a href="/wiki/Windows_Terminal" title="Windows Terminal">Terminal</a></li> <li><a href="/wiki/Windows_Calculator" title="Windows Calculator">Windows Calculator</a></li> <li><a href="/wiki/Windows_Console" title="Windows Console">Windows Console</a></li> <li><a href="/wiki/Windows_Package_Manager" title="Windows Package Manager">Windows Package Manager</a></li> <li><a href="/wiki/WorldWide_Telescope" title="WorldWide Telescope">WorldWide Telescope</a></li> <li><a href="/wiki/XML_Notepad" title="XML Notepad">XML Notepad</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Video games</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Allegiance_(video_game)" title="Allegiance (video game)">Allegiance</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Programming languages</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bosque_(programming_language)" title="Bosque (programming language)">Bosque</a></li> <li><a href="/wiki/C_Sharp_(programming_language)" title="C Sharp (programming language)">C#</a></li> <li><a href="/wiki/Dafny" title="Dafny">Dafny</a></li> <li><a href="/wiki/F_Sharp_(programming_language)" title="F Sharp (programming language)">F#</a></li> <li><a href="/wiki/F*_(programming_language)" title="F* (programming language)">F*</a></li> <li><a href="/wiki/GW-BASIC" title="GW-BASIC">GW-BASIC</a></li> <li><a href="/wiki/IronPython" title="IronPython">IronPython</a></li> <li><a href="/wiki/IronRuby" title="IronRuby">IronRuby</a></li> <li><a href="/wiki/Lean_(proof_assistant)" title="Lean (proof assistant)">Lean</a></li> <li><a href="/wiki/P_(programming_language)" title="P (programming language)">P</a></li> <li><a href="/wiki/Microsoft_Power_Fx" title="Microsoft Power Fx">Power Fx</a></li> <li><a href="/wiki/PowerShell" title="PowerShell">PowerShell</a></li> <li><a href="/wiki/Project_Verona" title="Project Verona">Project Verona</a></li> <li><a class="mw-selflink selflink">Q#</a></li> <li><a href="/wiki/Microsoft_Small_Basic" title="Microsoft Small Basic">Small Basic Online</a></li> <li><a href="/wiki/TypeScript" title="TypeScript">TypeScript</a></li> <li><a href="/wiki/Visual_Basic_.NET" class="mw-redirect" title="Visual Basic .NET">Visual Basic</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Frameworks, development tools</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/.NET" title=".NET">.NET</a></li> <li><a href="/wiki/.NET_Framework" title=".NET Framework">.NET Framework</a></li> <li><a href="/wiki/.NET_Gadgeteer" title=".NET Gadgeteer">.NET Gadgeteer</a></li> <li><a href="/wiki/.NET_MAUI" class="mw-redirect" title=".NET MAUI">.NET MAUI</a></li> <li><a href="/wiki/.NET_Micro_Framework" title=".NET Micro Framework">.NET Micro Framework</a></li> <li><a href="/wiki/AirSim" title="AirSim">AirSim</a></li> <li><a href="/wiki/ASP.NET" title="ASP.NET">ASP.NET</a></li> <li><a href="/wiki/ASP.NET_AJAX" title="ASP.NET AJAX">ASP.NET AJAX</a></li> <li><a href="/wiki/ASP.NET_Core" title="ASP.NET Core">ASP.NET Core</a></li> <li><a href="/wiki/ASP.NET_MVC" title="ASP.NET MVC">ASP.NET MVC</a></li> <li><a href="/wiki/ASP.NET_Razor" title="ASP.NET Razor">ASP.NET Razor</a></li> <li><a href="/wiki/ASP.NET_Web_Forms" title="ASP.NET Web Forms">ASP.NET Web Forms</a></li> <li><a href="/wiki/Avalonia_(software_framework)" title="Avalonia (software framework)">Avalonia</a></li> <li><a href="/wiki/Babylon.js" title="Babylon.js">Babylon.js</a></li> <li><a href="/wiki/BitFunnel" title="BitFunnel">BitFunnel</a></li> <li><a href="/wiki/Blazor" title="Blazor">Blazor</a></li> <li><a href="/wiki/C%2B%2B/WinRT" title="C++/WinRT">C++/WinRT</a></li> <li><a href="/wiki/Confidential_Consortium_Framework" title="Confidential Consortium Framework">CCF</a></li> <li><a href="/wiki/Chakra_(JavaScript_engine)" title="Chakra (JavaScript engine)">ChakraCore</a></li> <li><a href="/wiki/CLR_Profiler" title="CLR Profiler">CLR Profiler</a></li> <li><a href="/wiki/Dapr" title="Dapr">Dapr</a></li> <li><a href="/wiki/DeepSpeed" title="DeepSpeed">DeepSpeed</a></li> <li><a href="/wiki/DiskSpd" title="DiskSpd">DiskSpd</a></li> <li><a href="/wiki/Dryad_(programming)" title="Dryad (programming)">Dryad</a></li> <li><a href="/wiki/Dynamic_Language_Runtime" title="Dynamic Language Runtime">Dynamic Language Runtime</a></li> <li><a href="/wiki/EBPF_on_Windows" class="mw-redirect" title="EBPF on Windows">eBPF on Windows</a></li> <li><a href="/wiki/Electron_(software_framework)" title="Electron (software framework)">Electron</a></li> <li><a href="/wiki/Entity_Framework" title="Entity Framework">Entity Framework</a></li> <li><a href="/wiki/Fluent_Design_System" title="Fluent Design System">Fluent Design System</a></li> <li><a href="/wiki/Fluid_Framework" title="Fluid Framework">Fluid Framework</a></li> <li><a href="/wiki/Infer.NET" title="Infer.NET">Infer.NET</a></li> <li><a href="/wiki/LightGBM" title="LightGBM">LightGBM</a></li> <li><a href="/wiki/Managed_Extensibility_Framework" title="Managed Extensibility Framework">Managed Extensibility Framework</a></li> <li><a href="/wiki/Microsoft_Automatic_Graph_Layout" title="Microsoft Automatic Graph Layout">Microsoft Automatic Graph Layout</a></li> <li><a href="/wiki/Microsoft_C%2B%2B_Standard_Library" class="mw-redirect" title="Microsoft C++ Standard Library">Microsoft C++ Standard Library</a></li> <li><a href="/wiki/Microsoft_Cognitive_Toolkit" title="Microsoft Cognitive Toolkit">Microsoft Cognitive Toolkit</a></li> <li><a href="/wiki/Metro_(design_language)" title="Metro (design language)">Microsoft Design Language</a></li> <li><a href="/wiki/Microsoft_Detours" title="Microsoft Detours">Microsoft Detours</a></li> <li><a href="/wiki/Microsoft_Enterprise_Library" title="Microsoft Enterprise Library">Microsoft Enterprise Library</a></li> <li><a href="/wiki/Microsoft_SEAL" title="Microsoft SEAL">Microsoft SEAL</a></li> <li><a href="/wiki/Mimalloc" title="Mimalloc">mimalloc</a></li> <li><a href="/wiki/Mixed_Reality_Toolkit" title="Mixed Reality Toolkit">Mixed Reality Toolkit</a></li> <li><a href="/wiki/ML.NET" title="ML.NET">ML.NET</a></li> <li><a href="/wiki/Mod_mono" title="Mod mono">mod_mono</a></li> <li><a href="/wiki/Mono_(software)" title="Mono (software)">Mono</a></li> <li><a href="/wiki/MonoDevelop" title="MonoDevelop">MonoDevelop</a></li> <li><a href="/wiki/MSBuild" title="MSBuild">MSBuild</a></li> <li><a href="/wiki/MsQuic" title="MsQuic">MsQuic</a></li> <li><a href="/wiki/Neural_Network_Intelligence" title="Neural Network Intelligence">Neural Network Intelligence</a></li> <li><a href="/wiki/Npm" title="Npm">npm</a></li> <li><a href="/wiki/NuGet" title="NuGet">NuGet</a></li> <li><a href="/wiki/OneFuzz" title="OneFuzz">OneFuzz</a></li> <li><a href="/wiki/Open_Management_Infrastructure" title="Open Management Infrastructure">Open Management Infrastructure</a></li> <li><a href="/wiki/Open_Neural_Network_Exchange" title="Open Neural Network Exchange">Open Neural Network Exchange</a></li> <li><a href="/wiki/Open_Service_Mesh" title="Open Service Mesh">Open Service Mesh</a></li> <li><a href="/wiki/Open_XML_SDK" class="mw-redirect" title="Open XML SDK">Open XML SDK</a></li> <li><a href="/wiki/Orleans_(software_framework)" title="Orleans (software framework)">Orleans</a></li> <li><a href="/wiki/Playwright_(software)" title="Playwright (software)">Playwright</a></li> <li><a href="/wiki/ProcDump" title="ProcDump">ProcDump</a></li> <li><a href="/wiki/Process_Monitor" title="Process Monitor">ProcMon</a></li> <li><a href="/wiki/Python_Tools_for_Visual_Studio" title="Python Tools for Visual Studio">Python Tools for Visual Studio</a></li> <li><a href="/wiki/R_Tools_for_Visual_Studio" title="R Tools for Visual Studio">R Tools for Visual Studio</a></li> <li><a href="/wiki/RecursiveExtractor" class="mw-redirect" title="RecursiveExtractor">RecursiveExtractor</a></li> <li><a href="/wiki/Roslyn_(compiler)" title="Roslyn (compiler)">Roslyn</a></li> <li><a href="/wiki/Sandcastle_(software)" title="Sandcastle (software)">Sandcastle</a></li> <li><a href="/wiki/SignalR" title="SignalR">SignalR</a></li> <li><a href="/wiki/StyleCop" title="StyleCop">StyleCop</a></li> <li><a href="/wiki/SVNBridge" title="SVNBridge">SVNBridge</a></li> <li><a href="/wiki/T2_Temporal_Prover" title="T2 Temporal Prover">T2 Temporal Prover</a></li> <li><a href="/wiki/Text_Template_Transformation_Toolkit" title="Text Template Transformation Toolkit">Text Template Transformation Toolkit</a></li> <li><a href="/wiki/TLA%2B_Toolbox" class="mw-redirect" title="TLA+ Toolbox">TLA+ Toolbox</a></li> <li><a href="/wiki/U-Prove" title="U-Prove">U-Prove</a></li> <li><a href="/wiki/Vcpkg" title="Vcpkg">vcpkg</a></li> <li><a href="/wiki/Virtual_File_System_for_Git" title="Virtual File System for Git">Virtual File System for Git</a></li> <li><a href="/wiki/Voldemort_(distributed_data_store)" title="Voldemort (distributed data store)">Voldemort</a></li> <li><a href="/wiki/VoTT" title="VoTT">VoTT</a></li> <li><a href="/wiki/Vowpal_Wabbit" title="Vowpal Wabbit">Vowpal Wabbit</a></li> <li><a href="/wiki/Windows_App_SDK" title="Windows App SDK">Windows App SDK</a></li> <li><a href="/wiki/Windows_Communication_Foundation" title="Windows Communication Foundation">Windows Communication Foundation</a></li> <li><a href="/wiki/Windows_Driver_Frameworks" title="Windows Driver Frameworks">Windows Driver Frameworks</a> <ul><li><a href="/wiki/Kernel-Mode_Driver_Framework" title="Kernel-Mode Driver Framework">KMDF</a></li> <li><a href="/wiki/User-Mode_Driver_Framework" title="User-Mode Driver Framework">UMDF</a></li></ul></li> <li><a href="/wiki/Windows_Forms" title="Windows Forms">Windows Forms</a></li> <li><a href="/wiki/Windows_Presentation_Foundation" title="Windows Presentation Foundation">Windows Presentation Foundation</a></li> <li><a href="/wiki/Windows_Template_Library" title="Windows Template Library">Windows Template Library</a></li> <li><a href="/wiki/Windows_UI_Library" title="Windows UI Library">Windows UI Library</a></li> <li><a href="/wiki/WinJS" title="WinJS">WinJS</a></li> <li><a href="/wiki/WinObjC" class="mw-redirect" title="WinObjC">WinObjC</a></li> <li><a href="/wiki/WiX" title="WiX">WiX</a></li> <li><a href="/wiki/XDP_for_Windows" class="mw-redirect" title="XDP for Windows">XDP for Windows</a></li> <li><a href="/wiki/XSP_(software)" title="XSP (software)">XSP</a></li> <li><a href="/wiki/XUnit.net" title="XUnit.net">xUnit.net</a></li> <li><a href="/wiki/Z3_Theorem_Prover" title="Z3 Theorem Prover">Z3 Theorem Prover</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Operating systems</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/MS-DOS" title="MS-DOS">MS-DOS</a> (v1.25, v2.0 & v4.0)</li> <li><a href="/wiki/Barrelfish_(operating_system)" title="Barrelfish (operating system)">Barrelfish</a></li> <li><a href="/wiki/SONiC_(operating_system)" title="SONiC (operating system)">SONiC</a></li> <li><a href="/wiki/Azure_Linux" title="Azure Linux">Azure Linux</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/ChronoZoom" title="ChronoZoom">ChronoZoom</a></li> <li><a href="/wiki/Extensible_Storage_Engine" title="Extensible Storage Engine">Extensible Storage Engine</a></li> <li><a href="/wiki/FlexWiki" class="mw-redirect" title="FlexWiki">FlexWiki</a></li> <li><a href="/wiki/FourQ" title="FourQ">FourQ</a></li> <li><a href="/wiki/Gollum_(software)" title="Gollum (software)">Gollum</a></li> <li><a href="/wiki/Project_Mu" class="mw-redirect" title="Project Mu">Project Mu</a></li> <li><a href="/wiki/ReactiveX" title="ReactiveX">ReactiveX</a></li> <li><a href="/wiki/SILK" title="SILK">SILK</a></li> <li><a href="/wiki/TLAPS" class="mw-redirect" title="TLAPS">TLAPS</a></li> <li><a href="/wiki/TPM_2.0_Reference_Implementation" class="mw-redirect" title="TPM 2.0 Reference Implementation">TPM 2.0 Reference Implementation</a></li> <li><a href="/wiki/WikiBhasha" title="WikiBhasha">WikiBhasha</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Open-source_license" title="Open-source license">Licenses</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Microsoft_Public_License" class="mw-redirect" title="Microsoft Public License">Microsoft Public License</a></li> <li><a href="/wiki/Microsoft_Reciprocal_License" class="mw-redirect" title="Microsoft Reciprocal License">Microsoft Reciprocal License</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Forge_(software)" title="Forge (software)">Forges</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/CodePlex" title="CodePlex">CodePlex</a></li> <li><a href="/wiki/GitHub" title="GitHub">GitHub</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/.NET_Foundation" title=".NET Foundation">.NET Foundation</a></li> <li><a href="/wiki/F_Sharp_Software_Foundation" title="F Sharp Software Foundation">F# Software Foundation</a></li> <li><a href="/wiki/Microsoft_Open_Specification_Promise" title="Microsoft Open Specification Promise">Microsoft Open Specification Promise</a></li> <li><a href="/wiki/Open_Letter_to_Hobbyists" class="mw-redirect" title="Open Letter to Hobbyists">Open Letter to Hobbyists</a></li> <li><a href="/wiki/Open_Source_Security_Foundation" title="Open Source Security Foundation">Open Source Security Foundation</a></li> <li><a href="/wiki/Outercurve_Foundation" title="Outercurve Foundation">Outercurve Foundation</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /> <a href="/wiki/Category:Microsoft_free_software" title="Category:Microsoft free software">Category</a></div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Microsoft_development_tools271" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Microsoft_development_tools" title="Template:Microsoft development tools"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Microsoft_development_tools" title="Template talk:Microsoft development tools"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Microsoft_development_tools" title="Special:EditPage/Template:Microsoft development tools"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Microsoft_development_tools271" style="font-size:114%;margin:0 4em">Microsoft development tools</div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Development environments</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Microsoft_Visual_Studio" class="mw-redirect" title="Microsoft Visual Studio">Visual Studio</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Visual_Studio_Code" title="Visual Studio Code">Code</a></li> <li><a href="/wiki/Microsoft_Visual_Studio_Express" title="Microsoft Visual Studio Express">Express</a></li> <li><a href="/wiki/VSTS_Profiler" title="VSTS Profiler">Team System Profiler</a></li> <li><a href="/wiki/Visual_Studio_Tools_for_Applications" title="Visual Studio Tools for Applications">Tools for Applications</a></li> <li><a href="/wiki/Visual_Studio_Tools_for_Office" title="Visual Studio Tools for Office">Tools for Office</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Others</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Microsoft_Blend" title="Microsoft Blend">Blend</a></li> <li><a href="/wiki/Microsoft_Expression_Web" title="Microsoft Expression Web">Expression Web</a></li> <li><a href="/wiki/FxCop" title="FxCop">FxCop</a></li> <li><a href="/wiki/GW-BASIC" title="GW-BASIC">GW-BASIC</a></li> <li><a href="/wiki/Microsoft_MACRO-80" title="Microsoft MACRO-80">MACRO-80</a></li> <li><a href="/wiki/Microsoft_Macro_Assembler" title="Microsoft Macro Assembler">Macro Assembler</a></li> <li><a href="/wiki/MSBuild" title="MSBuild">MSBuild</a></li> <li><a href="/wiki/Microsoft_Pascal" title="Microsoft Pascal">Pascal</a></li> <li><a href="/wiki/QuickBASIC" title="QuickBASIC">QuickBASIC</a> <ul><li><a href="/wiki/QBasic" title="QBasic">QBasic</a></li></ul></li> <li><a href="/wiki/QuickC" title="QuickC">QuickC</a></li> <li><a href="/wiki/Microsoft_Robotics_Developer_Studio" title="Microsoft Robotics Developer Studio">Robotics Developer Studio</a></li> <li><a href="/wiki/Roslyn_(compiler)" title="Roslyn (compiler)">Roslyn</a></li> <li><a href="/wiki/Microsoft_SharePoint_Designer" title="Microsoft SharePoint Designer">SharePoint Designer</a> <ul><li><a href="/wiki/Microsoft_FrontPage" title="Microsoft FrontPage">FrontPage</a></li></ul></li> <li><a href="/wiki/Microsoft_Small_Basic" title="Microsoft Small Basic">Small Basic</a></li> <li><a href="/wiki/Microsoft_WebMatrix" title="Microsoft WebMatrix">WebMatrix</a></li> <li><a href="/wiki/Windows_App_SDK" title="Windows App SDK">Windows App SDK</a></li> <li><a href="/wiki/Windows_App_Studio" title="Windows App Studio">Windows App Studio</a></li> <li><a href="/wiki/Microsoft_Windows_SDK" title="Microsoft Windows SDK">Windows SDK</a> <ul><li><a href="/wiki/CLR_Profiler" title="CLR Profiler">CLR Profiler</a></li> <li><a href="/wiki/ILAsm" title="ILAsm">ILAsm</a></li> <li><a href="/wiki/Native_Image_Generator" title="Native Image Generator">Native Image Generator</a></li> <li><a href="/wiki/WinDiff" title="WinDiff">WinDiff</a></li> <li><a href="/wiki/XAMLPad" class="mw-redirect" title="XAMLPad">XAMLPad</a></li></ul></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Languages</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Microsoft_Dynamics_AX" class="mw-redirect" title="Microsoft Dynamics AX">Dynamics AX</a></li> <li><a href="/wiki/Microsoft_BASIC" title="Microsoft BASIC">BASIC</a></li> <li>Visual Basic <ul><li><a href="/wiki/Visual_Basic_(classic)" title="Visual Basic (classic)">legacy</a></li> <li><a href="/wiki/Visual_Basic_.NET" class="mw-redirect" title="Visual Basic .NET">VB.NET</a></li> <li><a href="/wiki/Visual_Basic_for_Applications" title="Visual Basic for Applications">VBA</a></li> <li><a href="/wiki/VBScript" title="VBScript">VBScript</a></li></ul></li> <li><a href="/wiki/Bosque_(programming_language)" title="Bosque (programming language)">Bosque</a></li> <li><a href="/wiki/Microsoft_Visual_C%2B%2B" title="Microsoft Visual C++">Visual C++</a> <ul><li><a href="/wiki/C%2B%2B/CX" title="C++/CX">C++/CX</a></li> <li><a href="/wiki/C%2B%2B/CLI" title="C++/CLI">C++/CLI</a></li> <li><a href="/wiki/Managed_Extensions_for_C%2B%2B" title="Managed Extensions for C++">Managed C++</a></li> <li><a href="/wiki/C%2B%2B/WinRT" title="C++/WinRT">C++/WinRT</a></li></ul></li> <li><a href="/wiki/C_Sharp_(programming_language)" title="C Sharp (programming language)">C#</a></li> <li><a href="/wiki/C/AL" title="C/AL">C/AL</a></li> <li><a href="/wiki/Dafny" title="Dafny">Dafny</a></li> <li><a href="/wiki/Dexterity_(programming_language)" title="Dexterity (programming language)">Dexterity</a></li> <li><a href="/wiki/F_Sharp_(programming_language)" title="F Sharp (programming language)">F#</a></li> <li><a href="/wiki/F*_(programming_language)" title="F* (programming language)">F*</a></li> <li><a href="/wiki/Visual_FoxPro" title="Visual FoxPro">Visual FoxPro</a></li> <li><a href="/wiki/Java_(programming_language)" title="Java (programming language)">Java</a> <ul><li><a href="/wiki/Visual_J%2B%2B" title="Visual J++">J++</a></li> <li><a href="/wiki/Visual_J_Sharp" title="Visual J Sharp">J#</a></li></ul></li> <li><a href="/wiki/JavaScript" title="JavaScript">JavaScript</a> <ul><li><a href="/wiki/TypeScript" title="TypeScript">TypeScript</a></li> <li><a href="/wiki/JScript" title="JScript">JScript</a></li></ul></li> <li><a href="/wiki/IronPython" title="IronPython">IronPython</a></li> <li><a href="/wiki/IronRuby" title="IronRuby">IronRuby</a></li> <li><a href="/wiki/Lean_(proof_assistant)" title="Lean (proof assistant)">Lean</a></li> <li><a href="/wiki/P_(programming_language)" title="P (programming language)">P</a></li> <li><a href="/wiki/Microsoft_Power_Fx" title="Microsoft Power Fx">Power Fx</a></li> <li><a href="/wiki/PowerShell" title="PowerShell">PowerShell</a></li> <li><a href="/wiki/Project_Verona" title="Project Verona">Project Verona</a></li> <li><a class="mw-selflink selflink">Q#</a></li> <li><a href="/wiki/Microsoft_Small_Basic" title="Microsoft Small Basic">Small Basic</a></li> <li><a href="/wiki/Microsoft_Visual_Programming_Language" title="Microsoft Visual Programming Language">VPL</a></li> <li><a href="/wiki/Extensible_Application_Markup_Language" title="Extensible Application Markup Language">XAML</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">APIs and frameworks</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;">Native</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Windows_API" title="Windows API">Windows API</a></li> <li><a href="/wiki/Microsoft_Silverlight" title="Microsoft Silverlight">Silverlight</a></li> <li><a href="/wiki/Microsoft_XNA" title="Microsoft XNA">XNA</a></li> <li><a href="/wiki/DirectX" title="DirectX">DirectX</a> <ul><li><a href="/wiki/Managed_DirectX" title="Managed DirectX">Managed DirectX</a></li></ul></li> <li><a href="/wiki/Universal_Windows_Platform" title="Universal Windows Platform">UWP</a></li> <li><a href="/wiki/Xbox_Development_Kit" title="Xbox Development Kit">Xbox Development Kit</a></li> <li><a href="/wiki/Windows_Installer" title="Windows Installer">Windows Installer</a></li> <li><a href="/wiki/WinUI" class="mw-redirect" title="WinUI">WinUI</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;"><a href="/wiki/.NET" title=".NET">.NET</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/ASP.NET" title="ASP.NET">ASP.NET</a> <ul><li><a href="/wiki/ASP.NET_Core" title="ASP.NET Core">Core</a></li> <li><a href="/wiki/ASP.NET_AJAX" title="ASP.NET AJAX">AJAX</a></li> <li><a href="/wiki/ASP.NET_Dynamic_Data" title="ASP.NET Dynamic Data">Dynamic Data</a></li> <li><a href="/wiki/ASP.NET_MVC" title="ASP.NET MVC">MVC</a></li> <li><a href="/wiki/ASP.NET_Razor" title="ASP.NET Razor">Razor</a></li> <li><a href="/wiki/ASP.NET_Web_Forms" title="ASP.NET Web Forms">Web Forms</a></li></ul></li> <li><a href="/wiki/ADO.NET" title="ADO.NET">ADO.NET</a> <ul><li><a href="/wiki/Entity_Framework" title="Entity Framework">Entity Framework</a></li></ul></li> <li><a href="/wiki/.NET_MAUI" class="mw-redirect" title=".NET MAUI">MAUI</a></li> <li><a href="/wiki/Windows_CardSpace" title="Windows CardSpace">CardSpace</a></li> <li><a href="/wiki/Windows_Communication_Foundation" title="Windows Communication Foundation">Communication Foundation</a></li> <li><a href="/wiki/Windows_Identity_Foundation" title="Windows Identity Foundation">Identity Foundation</a></li> <li><a href="/wiki/Language_Integrated_Query" title="Language Integrated Query">LINQ</a></li> <li><a href="/wiki/Windows_Presentation_Foundation" title="Windows Presentation Foundation">Presentation Foundation</a></li> <li><a href="/wiki/Windows_Workflow_Foundation" title="Windows Workflow Foundation">Workflow Foundation</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;"><a href="/wiki/Device_driver" title="Device driver">Device drivers</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Windows_Driver_Kit" title="Windows Driver Kit">WDK</a></li> <li><a href="/wiki/Windows_Driver_Frameworks" title="Windows Driver Frameworks">WDF</a> <ul><li><a href="/wiki/Kernel-Mode_Driver_Framework" title="Kernel-Mode Driver Framework">KMDF</a></li> <li><a href="/wiki/User-Mode_Driver_Framework" title="User-Mode Driver Framework">UMDF</a></li></ul></li> <li><a href="/wiki/Windows_Hardware_Lab_Kit" title="Windows Hardware Lab Kit">Windows HLK</a></li> <li><a href="/wiki/Windows_Driver_Model" title="Windows Driver Model">WDM</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Database</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;"><a href="/wiki/Microsoft_SQL_Server" title="Microsoft SQL Server">SQL Server</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/SQL_Server_Express" title="SQL Server Express">Express</a></li> <li><a href="/wiki/SQL_Server_Compact" title="SQL Server Compact">Compact</a></li> <li><a href="/wiki/SQL_Server_Management_Studio" title="SQL Server Management Studio">Management Studio</a></li> <li><a href="/wiki/Business_Intelligence_Development_Studio" title="Business Intelligence Development Studio">Business Intelligence Development Studio</a></li> <li><a href="/wiki/MSDE" title="MSDE">MSDE</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;">SQL services</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Microsoft_Analysis_Services" title="Microsoft Analysis Services">Analysis</a></li> <li><a href="/wiki/SQL_Server_Reporting_Services" title="SQL Server Reporting Services">Reporting</a></li> <li><a href="/wiki/SQL_Server_Integration_Services" title="SQL Server Integration Services">Integration</a></li> <li><a href="/wiki/SQL_Server_Notification_Services" title="SQL Server Notification Services">Notification</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Visual_FoxPro" title="Visual FoxPro">Visual FoxPro</a></li> <li><a href="/wiki/Microsoft_Access" title="Microsoft Access">Microsoft Access</a></li> <li><a href="/wiki/Access_Database_Engine" title="Access Database Engine">Access Database Engine</a></li> <li><a href="/wiki/Extensible_Storage_Engine" title="Extensible Storage Engine">Extensible Storage Engine</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Source control</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Microsoft_Visual_SourceSafe" title="Microsoft Visual 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