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also</span> </div> </a> <ul id="toc-See_also-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"> <span class="vector-toc-numb">3</span> <span>References</span> </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"> <span class="vector-toc-numb">4</span> <span>External links</span> </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" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">OpenQASM</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. 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.ambox{display:none!important}}</style><table class="box-Primary_sources plainlinks metadata ambox ambox-content ambox-Primary_sources" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><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></span></div></td><td class="mbox-text"><div class="mbox-text-span">This article <b>relies excessively on <a href="/wiki/Wikipedia:Verifiability" title="Wikipedia:Verifiability">references</a> to <a 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class="external text" href="https://scholar.google.com/scholar?q=%22OpenQASM%22">scholar</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.jstor.org/action/doBasicSearch?Query=%22OpenQASM%22&acc=on&wc=on">JSTOR</a></span></small></span> <span class="date-container"><i>(<span class="date">September 2018</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></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">OpenQASM</caption><tbody><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="/wiki/Software_release_life_cycle" title="Software release life cycle">Stable release</a></th><td class="infobox-data"><div style="margin:0px;">3.1.0 / May 15, 2024<span class="noprint">; 6 months ago</span><span style="display:none"> (<span class="bday dtstart published updated">2024-05-15</span>)</span></div></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><th scope="row" class="infobox-label">Implementation language</th><td class="infobox-data"><a href="/wiki/Python_(programming_language)" title="Python (programming language)">Python</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/Apache_License" title="Apache License">Apache License</a> 2.0</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"><style data-mw-deduplicate="TemplateStyles:r886049734">.mw-parser-output .monospaced{font-family:monospace,monospace}</style><span class="monospaced">.qasm</span></td></tr><tr><th scope="row" class="infobox-label">Website</th><td class="infobox-data"><span class="url"><a rel="nofollow" class="external text" href="https://openqasm.com/">openqasm<wbr />.com</a></span></td></tr></tbody></table> <p><b>Open Quantum Assembly Language</b> (<b>OpenQASM</b>; pronounced <i>open kazm</i><sup id="cite_ref-Cross_1-0" class="reference"><a href="#cite_note-Cross-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>) is a programming language designed for describing <a href="/wiki/Quantum_circuit" title="Quantum circuit">quantum circuits</a> and <a href="/wiki/Quantum_algorithm" title="Quantum algorithm">algorithms</a> for execution on quantum computers. It is designed to be an <a href="/wiki/Intermediate_representation" title="Intermediate representation">intermediate representation</a> that can be used by higher-level compilers to communicate with quantum hardware, and allows for the description of a wide range of quantum operations, as well as classical feed-forward flow control based on measurement outcomes. </p><p>The language includes a mechanism for describing explicit timing of instructions, and allows for the attachment of low-level definitions to gates for tasks such as calibration.<sup id="cite_ref-Cross_1-1" class="reference"><a href="#cite_note-Cross-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> OpenQASM is not intended for general-purpose classical computation, and hardware implementations of the language may not support the full range of data manipulation described in the specification. Compilers for OpenQASM are expected to support a wide range of classical operations for compile-time constants, but the support for these operations on runtime values may vary between implementations.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>The language was first described in a paper published in July 2017,<sup id="cite_ref-Cross_1-2" class="reference"><a href="#cite_note-Cross-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> and a reference source code implementation was released as part of <a href="/wiki/IBM" title="IBM">IBM</a>'s Quantum Information Software Kit (<a href="/wiki/Qiskit" title="Qiskit">Qiskit</a>) for use with their <a href="/wiki/IBM_Quantum_Experience" class="mw-redirect" title="IBM Quantum Experience">IBM Quantum Experience</a> <a href="/wiki/Cloud-based_quantum_computing" title="Cloud-based quantum computing">cloud quantum computing</a> platform.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> The language has similar qualities to traditional <a href="/wiki/Hardware_description_language" title="Hardware description language">hardware description languages</a> such as <a href="/wiki/Verilog" title="Verilog">Verilog</a>. </p><p> OpenQASM defines its version at the head of a source file as a number, as in the declaration: </p><div class="mw-highlight mw-highlight-lang-verilog mw-content-ltr" dir="ltr"><pre><span></span><span class="n">OPENQASM</span><span class="w"> </span><span class="mh">3</span><span class="p">;</span> </pre></div> <p>The level of OpenQASM's original published implementations is OpenQASM 2.0. Version 3.0 of the specification is the current one and can be viewed at the <a rel="nofollow" class="external text" href="https://github.com/openqasm/openqasm">OpenQASM</a> repository on <i>GitHub</i>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Examples">Examples</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=OpenQASM&action=edit&section=1" title="Edit section: Examples"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The following is an example of OpenQASM source code from the official library. The program adds two four-bit numbers.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-highlight mw-highlight-lang-systemverilog mw-content-ltr" dir="ltr"><pre><span></span><span class="cm">/*</span> <span class="cm"> * quantum ripple-carry adder</span> <span class="cm"> * Cuccaro et al, quant-ph/0410184</span> <span class="cm"> */</span> <span class="n">OPENQASM</span><span class="w"> </span><span class="mi">3</span><span class="p">;</span> <span class="k">include</span><span class="w"> </span><span class="s">"stdgates.inc"</span><span class="p">;</span> <span class="n">gate</span><span class="w"> </span><span class="n">majority</span><span class="w"> </span><span class="n">a</span><span class="p">,</span><span class="w"> </span><span class="n">b</span><span class="p">,</span><span class="w"> </span><span class="n">c</span><span class="w"> </span><span class="p">{</span> <span class="w"> </span><span class="n">cx</span><span class="w"> </span><span class="n">c</span><span class="p">,</span><span class="w"> </span><span class="n">b</span><span class="p">;</span> <span class="w"> </span><span class="n">cx</span><span class="w"> </span><span class="n">c</span><span class="p">,</span><span class="w"> </span><span class="n">a</span><span class="p">;</span> <span class="w"> </span><span class="n">ccx</span><span class="w"> </span><span class="n">a</span><span class="p">,</span><span class="w"> </span><span class="n">b</span><span class="p">,</span><span class="w"> </span><span class="n">c</span><span class="p">;</span> <span class="p">}</span> <span class="n">gate</span><span class="w"> </span><span class="n">unmaj</span><span class="w"> </span><span class="n">a</span><span class="p">,</span><span class="w"> </span><span class="n">b</span><span class="p">,</span><span class="w"> </span><span class="n">c</span><span class="w"> </span><span class="p">{</span> <span class="w"> </span><span class="n">ccx</span><span class="w"> </span><span class="n">a</span><span class="p">,</span><span class="w"> </span><span class="n">b</span><span class="p">,</span><span class="w"> </span><span class="n">c</span><span class="p">;</span> <span class="w"> </span><span class="n">cx</span><span class="w"> </span><span class="n">c</span><span class="p">,</span><span class="w"> </span><span class="n">a</span><span class="p">;</span> <span class="w"> </span><span class="n">cx</span><span class="w"> </span><span class="n">a</span><span class="p">,</span><span class="w"> </span><span class="n">b</span><span class="p">;</span> <span class="p">}</span> <span class="n">qubit</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="w"> </span><span class="n">cin</span><span class="p">;</span> <span class="n">qubit</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span><span class="w"> </span><span class="n">a</span><span class="p">;</span> <span class="n">qubit</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span><span class="w"> </span><span class="n">b</span><span class="p">;</span> <span class="n">qubit</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="w"> </span><span class="n">cout</span><span class="p">;</span> <span class="kt">bit</span><span class="p">[</span><span class="mi">5</span><span class="p">]</span><span class="w"> </span><span class="n">ans</span><span class="p">;</span> <span class="n">uint</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span><span class="w"> </span><span class="n">a_in</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="c1">// a = 0001</span> <span class="n">uint</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span><span class="w"> </span><span class="n">b_in</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">15</span><span class="p">;</span><span class="w"> </span><span class="c1">// b = 1111</span> <span class="c1">// initialize qubits</span> <span class="n">reset</span><span class="w"> </span><span class="n">cin</span><span class="p">;</span> <span class="n">reset</span><span class="w"> </span><span class="n">a</span><span class="p">;</span> <span class="n">reset</span><span class="w"> </span><span class="n">b</span><span class="p">;</span> <span class="n">reset</span><span class="w"> </span><span class="n">cout</span><span class="p">;</span> <span class="c1">// set input states</span> <span class="k">for</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="n">in</span><span class="w"> </span><span class="p">[</span><span class="mi">0</span><span class="o">:</span><span class="w"> </span><span class="mi">3</span><span class="p">]</span><span class="w"> </span><span class="p">{</span> <span class="w"> </span><span class="k">if</span><span class="p">(</span><span class="n">bool</span><span class="p">(</span><span class="n">a_in</span><span class="p">[</span><span class="n">i</span><span class="p">]))</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="n">a</span><span class="p">[</span><span class="n">i</span><span class="p">];</span> <span class="w"> </span><span class="k">if</span><span class="p">(</span><span class="n">bool</span><span class="p">(</span><span class="n">b_in</span><span class="p">[</span><span class="n">i</span><span class="p">]))</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="n">b</span><span class="p">[</span><span class="n">i</span><span class="p">];</span> <span class="p">}</span> <span class="c1">// add a to b, storing result in b</span> <span class="n">majority</span><span class="w"> </span><span class="n">cin</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">b</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">a</span><span class="p">[</span><span class="mi">0</span><span class="p">];</span> <span class="k">for</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="n">in</span><span class="w"> </span><span class="p">[</span><span class="mi">0</span><span class="o">:</span><span class="w"> </span><span class="mi">2</span><span class="p">]</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="n">majority</span><span class="w"> </span><span class="n">a</span><span class="p">[</span><span class="n">i</span><span class="p">],</span><span class="w"> </span><span class="n">b</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">],</span><span class="w"> </span><span class="n">a</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span><span class="w"> </span><span class="p">}</span> <span class="n">cx</span><span class="w"> </span><span class="n">a</span><span class="p">[</span><span class="mi">3</span><span class="p">],</span><span class="w"> </span><span class="n">cout</span><span class="p">[</span><span class="mi">0</span><span class="p">];</span> <span class="k">for</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="n">in</span><span class="w"> </span><span class="p">[</span><span class="mi">2</span><span class="o">:</span><span class="w"> </span><span class="o">-</span><span class="mi">1</span><span class="o">:</span><span class="w"> </span><span class="mi">0</span><span class="p">]</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="n">unmaj</span><span class="w"> </span><span class="n">a</span><span class="p">[</span><span class="n">i</span><span class="p">],</span><span class="n">b</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">],</span><span class="n">a</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">];</span><span class="w"> </span><span class="p">}</span> <span class="n">unmaj</span><span class="w"> </span><span class="n">cin</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">b</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">a</span><span class="p">[</span><span class="mi">0</span><span class="p">];</span> <span class="n">measure</span><span class="w"> </span><span class="n">b</span><span class="p">[</span><span class="mi">0</span><span class="o">:</span><span class="mi">3</span><span class="p">]</span><span class="w"> </span><span class="o">-></span><span class="w"> </span><span class="n">ans</span><span class="p">[</span><span class="mi">0</span><span class="o">:</span><span class="mi">3</span><span class="p">];</span> <span class="n">measure</span><span class="w"> </span><span class="n">cout</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="w"> </span><span class="o">-></span><span class="w"> </span><span class="n">ans</span><span class="p">[</span><span class="mi">4</span><span class="p">];</span> </pre></div> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=OpenQASM&action=edit&section=2" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Quantum_programming" title="Quantum programming">Quantum programming</a></li> <li><a href="/wiki/Q_Sharp" title="Q Sharp">Q Sharp</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=OpenQASM&action=edit&section=3" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></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"><ol class="references"> <li id="cite_note-Cross-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-Cross_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Cross_1-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Cross_1-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><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 id="CITEREFCrossBishopSmolinGambetta2017" class="citation arxiv cs1">Cross, Andrew W.; Bishop, Lev S.; Smolin, John A.; Gambetta, Jay M. (2017). "Open Quantum Assembly Language". <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1707.03429">1707.03429</a></span> [<a rel="nofollow" class="external text" href="https://arxiv.org/archive/quant-ph">quant-ph</a>].</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=preprint&rft.jtitle=arXiv&rft.atitle=Open+Quantum+Assembly+Language&rft.date=2017&rft_id=info%3Aarxiv%2F1707.03429&rft.aulast=Cross&rft.aufirst=Andrew+W.&rft.au=Bishop%2C+Lev+S.&rft.au=Smolin%2C+John+A.&rft.au=Gambetta%2C+Jay+M.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOpenQASM" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://openqasm.com/intro.html">"OpenQASM Live Specification"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">26 December</span> 2022</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=OpenQASM+Live+Specification&rft_id=https%3A%2F%2Fopenqasm.com%2Fintro.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOpenQASM" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation cs2"><a rel="nofollow" class="external text" href="https://qiskit.github.io/openqasm/"><i>qiskit-openqasm: OpenQASM specification</i></a>, International Business Machines, 4 July 2017<span class="reference-accessdate">, retrieved <span class="nowrap">6 July</span> 2017</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=qiskit-openqasm%3A+OpenQASM+specification&rft.pub=International+Business+Machines&rft.date=2017-07-04&rft_id=https%3A%2F%2Fqiskit.github.io%2Fopenqasm%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOpenQASM" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://github.com/openqasm/openqasm/blob/main/examples/adder.qasm">"openqasm/adder.qasm at master · openqasm/openqasm · GitHub"</a>. <i><a href="/wiki/GitHub" title="GitHub">GitHub</a></i>. 29 January 2022.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=GitHub&rft.atitle=openqasm%2Fadder.qasm+at+master+%C2%B7+openqasm%2Fopenqasm+%C2%B7+GitHub&rft.date=2022-01-29&rft_id=https%3A%2F%2Fgithub.com%2Fopenqasm%2Fopenqasm%2Fblob%2Fmain%2Fexamples%2Fadder.qasm&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOpenQASM" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=OpenQASM&action=edit&section=4" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="official-website"><span class="url"><a rel="nofollow" class="external text" href="https://openqasm.com/">Official website</a></span></span></li> <li><a rel="nofollow" class="external text" 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.navbox-abovebelow{background-color:#e6e6ff}.mw-parser-output .navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}body.skin--responsive .mw-parser-output .navbox-image img{max-width:none!important}@media print{body.ns-0 .mw-parser-output .navbox{display:none!important}}</style></div><div role="navigation" class="navbox" aria-labelledby="Quantum_information_science" style="padding:3px"><table class="nowraplinks hlist mw-collapsible mw-collapsed 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"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a 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_science" 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<br />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/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_cryptography" 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<br />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 <br /> 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"><i>T</i><sub>1</sub></a></li> <li><a href="/wiki/Spin%E2%80%93spin_relaxation" title="Spin–spin relaxation"><i>T</i><sub>2</sub></a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Quantum<br /><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></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<br />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"><i>gnu</i></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<br />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<br />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 class="mw-selflink selflink">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 href="/wiki/Q_Sharp" title="Q Sharp">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><span class="noviewer" typeof="mw:File"><span title="Category"><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" /></span></span> <a href="/wiki/Category:Quantum_information_science" title="Category:Quantum information science">Quantum information science</a></li> <li><span class="noviewer" typeof="mw:File"><span title="Template"><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" /></span></span> <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="IBM" 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:IBM" title="Template:IBM"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:IBM" title="Template talk:IBM"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:IBM" title="Special:EditPage/Template:IBM"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="IBM" style="font-size:114%;margin:0 4em"><a href="/wiki/IBM" title="IBM">IBM</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/History_of_IBM" title="History of IBM">History</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/History_of_IBM" title="History of IBM">History</a></li> <li><a href="/wiki/List_of_mergers_and_acquisitions_by_IBM" title="List of mergers and acquisitions by IBM">Mergers and acquisitions</a> <ul><li><a href="/wiki/Acquisition_of_the_IBM_PC_business_by_Lenovo" title="Acquisition of the IBM PC business by Lenovo">PC business acquisition by Lenovo</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_IBM_products" title="List of IBM products">Products</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%">Hardware</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%">Current</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/IBM_mainframe" title="IBM mainframe">Mainframe</a> <ul><li><a href="/wiki/IBM_Z" title="IBM Z">IBM Z</a></li></ul></li> <li><a href="/wiki/IBM_Power_microprocessors" title="IBM Power microprocessors">Power microprocessors</a></li> <li><a href="/wiki/IBM_Power_Systems" title="IBM Power Systems">Power Systems</a></li> <li><a href="/wiki/IBM_storage" title="IBM storage">Storage</a> <ul><li><a href="/wiki/IBM_FlashSystem" title="IBM FlashSystem">FlashSystem</a></li> <li><a href="/wiki/IBM_DS8000_series" title="IBM DS8000 series">DS8000</a></li></ul></li> <li>Quantum <ul><li><a href="/wiki/IBM_Q_System_One" title="IBM Q System One">Q System One</a></li> <li><a href="/wiki/IBM_Q_System_Two" title="IBM Q System Two">Q System Two</a></li> <li><a href="/wiki/IBM_Eagle" title="IBM Eagle">Eagle</a></li> <li><a href="/wiki/IBM_Osprey" title="IBM Osprey">Osprey</a></li> <li><a href="/wiki/IBM_Heron" title="IBM Heron">Heron</a></li> <li><a href="/wiki/IBM_Condor" title="IBM Condor">Condor</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Former</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/IBM_Blue_Gene" title="IBM Blue Gene">Blue Gene</a></li> <li><a href="/wiki/Cell_(processor)" title="Cell (processor)">Cell microprocessors</a></li> <li><a href="/wiki/PowerPC" title="PowerPC">PowerPC</a></li> <li><a href="/wiki/Midrange_computer" title="Midrange computer">Midrange computer</a></li> <li><a href="/wiki/IBM_Personal_Computer" title="IBM Personal Computer">Personal Computer</a></li> <li><a href="/wiki/IBM_Selectric" title="IBM Selectric">Selectric</a></li> <li><a href="/wiki/ThinkPad" title="ThinkPad">ThinkPad</a></li></ul> </div></td></tr></tbody></table><div></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/Carbon_Design_System" title="Carbon Design System">Carbon Design System</a></li> <li><a href="/wiki/IBM_Cloud" title="IBM Cloud">Cloud</a> <ul><li><a href="/wiki/Cloudant" title="Cloudant">Cloudant</a></li></ul></li> <li><a href="/wiki/IBM_Cognos_Analytics" title="IBM Cognos Analytics">Cognos Analytics</a></li> <li><a href="/wiki/HCL_Connections" title="HCL Connections">Connections</a></li> <li><a href="/wiki/Criminal_Reduction_Utilising_Statistical_History" title="Criminal Reduction Utilising Statistical History">Criminal Reduction Utilising Statistical History</a></li> <li><a href="/wiki/Fortran" title="Fortran">Fortran</a></li> <li><a href="/wiki/ILOG" title="ILOG">ILOG</a></li> <li><a href="/wiki/IBM_Information_Management_Software" title="IBM Information Management Software">Information Management Software</a></li> <li><a href="/wiki/Lotus_Software" title="Lotus Software">Lotus Software</a></li> <li><a href="/wiki/History_of_IBM_mainframe_operating_systems" title="History of IBM mainframe operating systems">Mainframe operating systems</a></li> <li><a href="/wiki/IBM_Mashup_Center" title="IBM Mashup Center">Mashup Center</a></li> <li><a href="/wiki/IBM_Planning_Analytics" title="IBM Planning Analytics">Planning Analytics</a></li> <li><a href="/wiki/IBM_PureQuery" class="mw-redirect" title="IBM PureQuery">PureQuery</a></li> <li><a href="/wiki/IBM_Quantum_Platform" title="IBM Quantum Platform">Quantum Platform</a> <ul><li><a href="/wiki/Qiskit" title="Qiskit">Qiskit</a></li> <li><a class="mw-selflink selflink">OpenQASM</a></li></ul></li> <li><a href="/wiki/Rational_Software" title="Rational Software">Rational Software</a></li> <li><a href="/wiki/SPSS" title="SPSS">SPSS</a></li> <li><a href="/wiki/Tivoli_Software" title="Tivoli Software">Tivoli Software</a> <ul><li><a href="/wiki/Tivoli_Service_Automation_Manager" title="Tivoli Service Automation Manager">Service Automation Manager</a></li></ul></li> <li><a href="/wiki/IBM_Watson" title="IBM Watson">Watson</a></li> <li><a href="/wiki/IBM_Watsonx" title="IBM Watsonx">Watsonx</a> <ul><li><a href="/wiki/IBM_Granite" title="IBM Granite">Granite</a></li></ul></li> <li><a href="/wiki/IBM_WebSphere" title="IBM WebSphere">WebSphere</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Business<br />entities</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%">Current</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/Apptio" title="Apptio">Apptio</a></li> <li><a href="/wiki/IBM_Center_for_The_Business_of_Government" title="IBM Center for The Business of Government">Center for The Business of Government</a></li> <li><a href="/wiki/IBM_Consulting" title="IBM Consulting">Consulting</a> <ul><li><a href="/wiki/Promontory_Financial_Group" title="Promontory Financial Group">Promontory</a></li></ul></li> <li><a href="/wiki/Kenexa" title="Kenexa">Kenexa</a></li> <li><a href="/wiki/List_of_international_subsidiaries_of_IBM" title="List of international subsidiaries of IBM">International subsidiaries</a> <ul><li><a href="/wiki/IBM_India" title="IBM India">India</a></li></ul></li> <li><a href="/wiki/IBM_Press" title="IBM Press">Press</a></li> <li><a href="/wiki/Red_Hat" title="Red Hat">Red Hat</a></li> <li><a href="/wiki/IBM_Research" title="IBM Research">Research</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Former</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/AdStar" title="AdStar">AdStar</a></li> <li><a href="/wiki/AIM_alliance" title="AIM alliance">AIM alliance</a> <ul><li><a href="/wiki/Kaleida_Labs" title="Kaleida Labs">Kaleida Labs</a></li> <li><a href="/wiki/Taligent" title="Taligent">Taligent</a></li></ul></li> <li><a href="/wiki/Ambra_Computer_Corporation" title="Ambra Computer Corporation">Ambra Computer</a></li> <li><a href="/wiki/Cognos" title="Cognos">Cognos</a></li> <li><a href="/wiki/EduQuest" title="EduQuest">EduQuest</a></li> <li><a href="/wiki/Kyndryl" title="Kyndryl">Kyndryl</a></li> <li><a href="/wiki/Lexmark" title="Lexmark">Lexmark</a></li> <li><a href="/wiki/Merative" title="Merative">Merative</a></li> <li><a href="/wiki/IBM_Microelectronics" title="IBM Microelectronics">Microelectronics</a></li> <li><a href="/wiki/IBM_Product_Center" title="IBM Product Center">Product Center</a></li> <li><a href="/wiki/Science_Research_Associates" title="Science Research Associates">Science Research Associates</a></li> <li><a href="/wiki/Service_Bureau_Corporation" title="Service Bureau Corporation">Service Bureau</a></li> <li><a href="/wiki/The_Weather_Company" title="The Weather Company">The Weather Company</a> (<a href="/wiki/Weather_Underground_(weather_service)" title="Weather Underground (weather service)">Weather Underground</a>)</li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Facilities</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>Towers <ul><li><a href="/wiki/1250_Ren%C3%A9-L%C3%A9vesque" title="1250 René-Lévesque">1250 René-Lévesque</a>, Montreal, QC</li> <li><a href="/wiki/One_Atlantic_Center" title="One Atlantic Center">One Atlantic Center</a>, Atlanta, GA</li></ul></li> <li>Software Labs <ul><li><a href="/wiki/IBM_Rome_Software_Lab" title="IBM Rome Software Lab">Rome Software Lab</a></li> <li><a href="/wiki/IBM_Toronto_Software_Lab" title="IBM Toronto Software Lab">Toronto Software Lab</a></li></ul></li> <li>IBM Buildings <ul><li><a href="/wiki/330_North_Wabash" title="330 North Wabash">330 North Wabash</a>, Chicago, IL</li> <li><a href="/wiki/IBM_Building,_Honolulu" title="IBM Building, Honolulu">Honolulu</a></li> <li><a href="/wiki/1200_Fifth" title="1200 Fifth">Seattle</a></li></ul></li> <li>Facilities <ul><li><a href="/wiki/Thomas_J._Watson_Research_Center" title="Thomas J. Watson Research Center">Thomas J. Watson Research Center</a></li> <li><a href="/wiki/IBM_Hakozaki_Facility" title="IBM Hakozaki Facility">Hakozaki Facility</a></li> <li><a href="/wiki/IBM_Yamato_Facility" title="IBM Yamato Facility">Yamato Facility</a></li></ul></li> <li><a href="/wiki/Cambridge_Scientific_Center" title="Cambridge Scientific Center">Cambridge Scientific Center</a></li> <li><a href="/wiki/IBM_Hursley" title="IBM Hursley">IBM Hursley</a></li> <li><a href="/wiki/IBM_Canada_Head_Office_Building" title="IBM Canada Head Office Building">Canada Head Office Building</a></li> <li><a href="/wiki/IBM_Rochester" title="IBM Rochester">IBM Rochester</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Initiatives</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>Academy of Technology</li> <li><a href="/wiki/IBM_Deep_Thunder" title="IBM Deep Thunder">Deep Thunder</a> <ul><li><a href="/wiki/Develothon" title="Develothon">Develothon</a></li></ul></li> <li><a href="/wiki/IBM_Fellow" title="IBM Fellow">Fellow</a></li> <li><a href="/wiki/IBM%27s_The_Great_Mind_Challenge" title="IBM's The Great Mind Challenge">The Great Mind Challenge</a></li> <li><a href="/wiki/Linux_Technology_Center" title="Linux Technology Center">Linux Technology Center</a></li> <li><a href="/wiki/IBM_SkillsBuild" title="IBM SkillsBuild">SkillsBuild</a></li> <li><a href="/wiki/Smarter_Planet" title="Smarter Planet">Smarter Planet</a></li> <li><a href="/wiki/IBM_Virtual_Universe_Community" title="IBM Virtual Universe Community">Virtual Universe Community</a></li> <li><a href="/wiki/World_Community_Grid" title="World Community Grid">World Community Grid</a></li> <li><a href="/wiki/IBM_Think_conference" title="IBM Think conference">Think conference</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Inventions</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/Automated_teller_machine" class="mw-redirect" title="Automated teller machine">Automated teller machine</a></li> <li><a href="/wiki/Cynefin_framework" title="Cynefin framework">Cynefin framework</a></li> <li><a href="/wiki/Dynamic_random-access_memory" title="Dynamic random-access memory">DRAM</a></li> <li><a href="/wiki/Keypunch" title="Keypunch">Electronic keypunch</a></li> <li><a href="/wiki/Floppy_disk" title="Floppy disk">Floppy disk</a></li> <li><a href="/wiki/Hard_disk_drive" title="Hard disk drive">Hard disk drive</a></li> <li><a href="/wiki/Magnetic_stripe_card" class="mw-redirect" title="Magnetic stripe card">Magnetic stripe card</a></li> <li><a href="/wiki/Relational_model" title="Relational model">Relational model</a></li> <li><a href="/wiki/Sabre_(travel_reservation_system)" title="Sabre (travel reservation system)">Sabre airline reservation system</a></li> <li><a href="/wiki/Scanning_tunneling_microscope" title="Scanning tunneling microscope">Scanning tunneling microscope</a></li> <li><a href="/wiki/Swap_(finance)" title="Swap (finance)">Financial swaps</a></li> <li><a href="/wiki/Universal_Product_Code" title="Universal Product Code">Universal Product Code</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Terminology</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/Big_Blue" class="mw-redirect" title="Big Blue">Big Blue</a></li> <li><a href="/wiki/Commercial_Processing_Workload" title="Commercial Processing Workload">Commercial Processing Workload</a></li> <li><a href="/wiki/Customer_engineer" title="Customer engineer">Customer engineer</a></li> <li><a href="/wiki/Globally_integrated_enterprise" title="Globally integrated enterprise">Globally integrated enterprise</a></li> <li><a href="/wiki/Electronic_business" title="Electronic business">e-business</a></li> <li><a href="/wiki/Think_(slogan)" title="Think (slogan)">Think slogan</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_IBM_CEOs" title="List of IBM CEOs">CEOs</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/Thomas_J._Watson" title="Thomas J. Watson">Thomas J. Watson</a> (1914–1956)</li> <li><a href="/wiki/Thomas_J._Watson_Jr." title="Thomas J. Watson Jr.">Thomas Watson Jr.</a> (1956–1971)</li> <li><a href="/wiki/T._Vincent_Learson" title="T. Vincent Learson">T. Vincent Learson</a> (1971–1973)</li> <li><a href="/wiki/Frank_T._Cary" title="Frank T. Cary">Frank T. Cary</a> (1973–1981)</li> <li><a href="/wiki/John_R._Opel" title="John R. Opel">John R. Opel</a> (1981–1985)</li> <li><a href="/wiki/John_Fellows_Akers" title="John Fellows Akers">John Fellows Akers</a> (1985–1993)</li> <li><a href="/wiki/Lou_Gerstner" title="Lou Gerstner">Louis V. Gerstner Jr.</a> (1993–2002)</li> <li><a href="/wiki/Samuel_J._Palmisano" title="Samuel J. Palmisano">Samuel J. Palmisano</a> (2002–2011)</li> <li><a href="/wiki/Ginni_Rometty" title="Ginni Rometty">Ginni Rometty</a> (2012–2020)</li> <li><a href="/wiki/Arvind_Krishna" title="Arvind Krishna">Arvind Krishna</a> (since 2020)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Board of<br />directors</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/Thomas_Buberl" title="Thomas Buberl">Thomas Buberl</a></li> <li><a href="/wiki/David_Farr_(businessman)" title="David Farr (businessman)">David Farr</a></li> <li><a href="/wiki/Alex_Gorsky" title="Alex Gorsky">Alex Gorsky</a></li> <li><a href="/wiki/Michelle_Howard" title="Michelle Howard">Michelle J. Howard</a></li> <li><a href="/wiki/Arvind_Krishna" title="Arvind Krishna">Arvind Krishna</a></li> <li><a href="/wiki/Andrew_Liveris" title="Andrew Liveris">Andrew Liveris</a></li> <li><a href="/wiki/Martha_E._Pollack" class="mw-redirect" title="Martha E. Pollack">Martha E. Pollack</a></li> <li><a href="/wiki/Joseph_R._Swedish" title="Joseph R. Swedish">Joseph R. Swedish</a></li> <li><a href="/wiki/Peter_Voser" title="Peter Voser">Peter R. Voser</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><i><a href="/wiki/A_Boy_and_His_Atom" title="A Boy and His Atom">A Boy and His Atom</a></i></li> <li>Big Blue sports teams <ul><li><a href="/wiki/IBM_Big_Blue_(X-League)" title="IBM Big Blue (X-League)">American football</a></li> <li><a href="/wiki/IBM_Big_Blue_(rugby_union)" title="IBM Big Blue (rugby union)">Rugby union</a></li></ul></li> <li><a href="/wiki/Common_Public_License" title="Common Public License">Common Public License</a>/<a href="/wiki/IBM_Public_License" title="IBM Public License">IBM Public License</a></li> <li><a href="/wiki/Deep_Blue_(chess_computer)" title="Deep Blue (chess computer)">Deep Blue</a></li> <li><a href="/wiki/Deep_Thought_(chess_computer)" title="Deep Thought (chess computer)">Deep Thought</a></li> <li><a href="/wiki/Dynamic_infrastructure" title="Dynamic infrastructure">Dynamic infrastructure</a></li> <li><a href="/wiki/GlobalFoundries" title="GlobalFoundries">GlobalFoundries</a></li> <li><a href="/wiki/GUIDE_International" title="GUIDE International">GUIDE International</a></li> <li><i><a href="/wiki/IBM_and_the_Holocaust" title="IBM and the Holocaust">IBM and the Holocaust</a></i></li> <li><a href="/wiki/IBM_international_chess_tournament" title="IBM international chess tournament">International chess tournament</a></li> <li><a href="/wiki/Lucifer_(cipher)" title="Lucifer (cipher)">Lucifer cipher</a></li> <li><i><a href="/wiki/Mathematica:_A_World_of_Numbers..._and_Beyond" title="Mathematica: A World of Numbers... and Beyond">Mathematica</a></i></li> <li><a href="/wiki/IBM_Plex" title="IBM Plex">IBM Plex</a></li> <li><a href="/wiki/SHARE_(computing)" title="SHARE (computing)">SHARE computing</a></li> <li><a href="/wiki/ScicomP" title="ScicomP">ScicomP</a></li> <li><a href="/wiki/IBM_and_unions" title="IBM and unions">Unions</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><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" /></span></span> <a href="/wiki/Category:IBM" title="Category:IBM">Category</a></li> <li><span class="noviewer" typeof="mw:File"><span title="Commons page"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" 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