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.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 vcard"><caption class="infobox-title" style="font-size:125%; font-style:italic; padding-bottom:0.2em;">Geometry of Quantum States: An Introduction to Quantum Entanglement <span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Geometry+of+Quantum+States%3A+An+Introduction+to+Quantum+Entanglement&rft.author=Ingemar+Bengtsson+and+%5B%5BKarol+%C5%BByczkowski%5D%5D&rft.date=2006+%28first+edition%29%3Cbr%3E2017+%28second+edition%29"></span></caption><tbody><tr><th scope="row" class="infobox-label">Author</th><td class="infobox-data">Ingemar Bengtsson and <a href="/wiki/Karol_%C5%BByczkowski" title="Karol Życzkowski">Karol Życzkowski</a></td></tr><tr><th scope="row" class="infobox-label">Language</th><td class="infobox-data">English</td></tr><tr><th scope="row" class="infobox-label">Genre</th><td class="infobox-data">Nonfiction</td></tr><tr><th scope="row" class="infobox-label"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;">Publication date</div></th><td class="infobox-data">2006 (first edition)<br />2017 (second edition)</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a></th><td class="infobox-data"><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><a href="/wiki/Special:BookSources/978-0-521-81451-5" title="Special:BookSources/978-0-521-81451-5">978-0-521-81451-5</a></td></tr></tbody></table> <p><i><b>Geometry of Quantum States: An Introduction to Quantum Entanglement</b></i> is a book by Ingemar Bengtsson and <a href="/wiki/Karol_%C5%BByczkowski" title="Karol Życzkowski">Karol Życzkowski</a> about the mathematics used in <a href="/wiki/Quantum_physics" class="mw-redirect" title="Quantum physics">quantum physics</a>. The first edition was published in 2006 and the second in 2017. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Contents">Contents</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Geometry_of_Quantum_States&action=edit&section=1" title="Edit section: Contents"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The text begins by introducing the idea of <a href="/wiki/Convex_set" title="Convex set">convex sets</a>, using <a href="/wiki/Color_theory" title="Color theory">color theory</a>. It then discusses classical <a href="/wiki/Probability_theory" title="Probability theory">probability theory</a> from a geometric perspective and develops the concept of <a href="/wiki/Complex_projective_space" title="Complex projective space">complex projective space</a>, after which it outlines the mathematical fundamentals of quantum mechanics. The following chapters then go into detail about topics within quantum theory, including <a href="/wiki/Coherent_state" title="Coherent state">coherent states</a>, <a href="/wiki/Density_matrix" title="Density matrix">density matrices</a>, aspects of <a href="/wiki/Quantum_channel" title="Quantum channel">quantum channels</a>, distinguishability measures for quantum states, and <a href="/wiki/Von_Neumann_entropy" title="Von Neumann entropy">von Neumann entropy</a>.<sup id="cite_ref-:0_1-0" class="reference"><a href="#cite_note-:0-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:1_2-0" class="reference"><a href="#cite_note-:1-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>The second edition added a chapter about discrete structures in finite-dimensional <a href="/wiki/Hilbert_space" title="Hilbert space">Hilbert spaces</a>. This chapter covers topics related to <a href="/wiki/Mutually_unbiased_bases" title="Mutually unbiased bases">mutually unbiased bases</a> and the special <a href="/wiki/Measurement_in_quantum_mechanics" title="Measurement in quantum mechanics">quantum measurements</a> known as <a href="/wiki/SIC-POVM" title="SIC-POVM">SIC-POVMs</a>.<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> </p> <div class="mw-heading mw-heading2"><h2 id="Reception">Reception</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Geometry_of_Quantum_States&action=edit&section=2" title="Edit section: Reception"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The text received generally positive reviews. Miłosz Michalski called the first edition "indispensable" for readers interested in the mathematics of quantum information, praising its writing style, use of illustrations, choice of exercises, and extensive collection of references.<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> D. W. Hook also appreciated the illustrations, and singled out the authors treatment of quantum measurements as particularly clear. Hook found the volume to be less a textbook and more a collection of largely self-contained essays.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> Reviewing the book for <a href="/wiki/MathSciNet" title="MathSciNet">MathSciNet</a>, Paul B. Slater found it "a markedly distinctive, dedicatedly pedagogical, suitably rigorous text".<sup id="cite_ref-:0_1-1" class="reference"><a href="#cite_note-:0-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p><a href="/wiki/Gerard_J._Milburn" title="Gerard J. Milburn">Gerard J. Milburn</a> called the book "a delight to read and to savour". Its explanation of the <a href="/wiki/Fubini%E2%80%93Study_metric" title="Fubini–Study metric">Fubini–Study</a> and <a href="/wiki/Bures_metric" title="Bures metric">Bures metrics</a> were the best that he had encountered to date. Milburn opined that readers who wanted a quick introduction to <a href="/wiki/Quantum_Entanglement" class="mw-redirect" title="Quantum Entanglement">entanglement</a> would benefit more from a shorter book, but those with the time to devote to the topic should "hang a gone fishin' notice on your office door" and read Bengtsson and Życzkowski.<sup id="cite_ref-:1_2-1" class="reference"><a href="#cite_note-:1-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Editions">Editions</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Geometry_of_Quantum_States&action=edit&section=3" title="Edit section: Editions"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFBengtssonŻyczkowski2006" class="citation book cs1">Bengtsson, Ingemar; <a href="/wiki/Karol_%C5%BByczkowski" title="Karol Życzkowski">Życzkowski, Karol</a> (2006). <i>Geometry of Quantum States: An Introduction to Quantum Entanglement</i> (1st ed.). <a href="/wiki/Cambridge_University_Press" title="Cambridge University Press">Cambridge University Press</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-521-81451-5" title="Special:BookSources/978-0-521-81451-5"><bdi>978-0-521-81451-5</bdi></a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a> <a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=2230995">2230995</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Geometry+of+Quantum+States%3A+An+Introduction+to+Quantum+Entanglement&rft.edition=1st&rft.pub=Cambridge+University+Press&rft.date=2006&rft.isbn=978-0-521-81451-5&rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D2230995%23id-name%3DMR&rft.aulast=Bengtsson&rft.aufirst=Ingemar&rft.au=%C5%BByczkowski%2C+Karol&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGeometry+of+Quantum+States" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFBengtssonŻyczkowski2017" class="citation book cs1">Bengtsson, Ingemar; Życzkowski, Karol (2017). <i>Geometry of Quantum States: An Introduction to Quantum Entanglement</i> (2nd ed.). Cambridge University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-107-02625-4" title="Special:BookSources/978-1-107-02625-4"><bdi>978-1-107-02625-4</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Geometry+of+Quantum+States%3A+An+Introduction+to+Quantum+Entanglement&rft.edition=2nd&rft.pub=Cambridge+University+Press&rft.date=2017&rft.isbn=978-1-107-02625-4&rft.aulast=Bengtsson&rft.aufirst=Ingemar&rft.au=%C5%BByczkowski%2C+Karol&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGeometry+of+Quantum+States" class="Z3988"></span></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=Geometry_of_Quantum_States&action=edit&section=4" 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-:0-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-:0_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-:0_1-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFSlater2009" class="citation arxiv cs1">Slater, Paul B. (2009-01-26). "Book Review: "Geometry of Quantum States" by Ingemar Bengtsson and Karol Zyczkowski (Cambridge University Press, 2006)". <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/0901.4047">0901.4047</a></span> [<a rel="nofollow" class="external text" href="https://arxiv.org/archive/math.HO">math.HO</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=Book+Review%3A+%22Geometry+of+Quantum+States%22+by+Ingemar+Bengtsson+and+Karol+Zyczkowski+%28Cambridge+University+Press%2C+2006%29&rft.date=2009-01-26&rft_id=info%3Aarxiv%2F0901.4047&rft.aulast=Slater&rft.aufirst=Paul+B.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGeometry+of+Quantum+States" class="Z3988"></span></span> </li> <li id="cite_note-:1-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-:1_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-:1_2-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFMilburn2008" class="citation journal cs1">Milburn, Gerard J. (2008). <a rel="nofollow" class="external text" href="https://www.rintonpress.com/journals/qic/8-89-860-860.pdf">"Book review"</a> <span class="cs1-format">(PDF)</span>. <i>Quantum Information and Computation</i>. <b>8</b> (8&9): 0860. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.26421%2FQIC8.8-9-12">10.26421/QIC8.8-9-12</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Quantum+Information+and+Computation&rft.atitle=Book+review&rft.volume=8&rft.issue=8%269&rft.pages=0860&rft.date=2008&rft_id=info%3Adoi%2F10.26421%2FQIC8.8-9-12&rft.aulast=Milburn&rft.aufirst=Gerard+J.&rft_id=https%3A%2F%2Fwww.rintonpress.com%2Fjournals%2Fqic%2F8-89-860-860.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGeometry+of+Quantum+States" 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 id="CITEREFBengtssonŻyczkowski2017" class="citation arxiv cs1">Bengtsson, Ingemar; <a href="/wiki/Karol_%C5%BByczkowski" title="Karol Życzkowski">Życzkowski, Karol</a> (2017-01-26). "On discrete structures in finite Hilbert spaces". <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/1701.07902">1701.07902</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=On+discrete+structures+in+finite+Hilbert+spaces&rft.date=2017-01-26&rft_id=info%3Aarxiv%2F1701.07902&rft.aulast=Bengtsson&rft.aufirst=Ingemar&rft.au=%C5%BByczkowski%2C+Karol&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGeometry+of+Quantum+States" 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 id="CITEREFMichalski2008" class="citation journal cs1">Michalski, Miłosz (March 2008). <i><a href="/wiki/Open_Systems_%26_Information_Dynamics" title="Open Systems & Information Dynamics">Open Systems & Information Dynamics</a></i>. <b>15</b> (1): <span class="nowrap">91–</span>92. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1142%2FS1230161208000080">10.1142/S1230161208000080</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1230-1612">1230-1612</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Open+Systems+%26+Information+Dynamics&rft.volume=15&rft.issue=1&rft.pages=%3Cspan+class%3D%22nowrap%22%3E91-%3C%2Fspan%3E92&rft.date=2008-03&rft_id=info%3Adoi%2F10.1142%2FS1230161208000080&rft.issn=1230-1612&rft.aulast=Michalski&rft.aufirst=Mi%C5%82osz&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGeometry+of+Quantum+States" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_journal" title="Template:Cite journal">cite journal</a>}}</code>: CS1 maint: untitled periodical (<a href="/wiki/Category:CS1_maint:_untitled_periodical" title="Category:CS1 maint: untitled periodical">link</a>)</span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFHook2008" class="citation journal cs1">Hook, D. W. (2008-01-11). <i><a href="/wiki/Journal_of_Physics_A:_Mathematical_and_Theoretical" class="mw-redirect" title="Journal of Physics A: Mathematical and Theoretical">Journal of Physics A: Mathematical and Theoretical</a></i>. <b>41</b> (1): 019001. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1088%2F1751-8121%2F41%2F1%2F019001">10.1088/1751-8121/41/1/019001</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1751-8113">1751-8113</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+Physics+A%3A+Mathematical+and+Theoretical&rft.volume=41&rft.issue=1&rft.pages=019001&rft.date=2008-01-11&rft_id=info%3Adoi%2F10.1088%2F1751-8121%2F41%2F1%2F019001&rft.issn=1751-8113&rft.aulast=Hook&rft.aufirst=D.+W.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGeometry+of+Quantum+States" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_journal" title="Template:Cite journal">cite journal</a>}}</code>: CS1 maint: untitled periodical (<a href="/wiki/Category:CS1_maint:_untitled_periodical" title="Category:CS1 maint: untitled periodical">link</a>)</span></span> </li> </ol></div></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=Geometry_of_Quantum_States&action=edit&section=5" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Mathematical_formulation_of_quantum_mechanics" title="Mathematical formulation of quantum mechanics">Mathematical formulation of quantum mechanics</a></li></ul> <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=Geometry_of_Quantum_States&action=edit&section=6" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://chaos.if.uj.edu.pl/~karol/geometry.htm">Życzkowski's website with errata</a></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Geometry_of_Quantum_States&oldid=1280899340">https://en.wikipedia.org/w/index.php?title=Geometry_of_Quantum_States&oldid=1280899340</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Categories</a>: <ul><li><a href="/wiki/Category:2006_non-fiction_books" title="Category:2006 non-fiction books">2006 non-fiction books</a></li><li><a href="/wiki/Category:2017_non-fiction_books" title="Category:2017 non-fiction books">2017 non-fiction books</a></li><li><a href="/wiki/Category:Physics_textbooks" title="Category:Physics textbooks">Physics textbooks</a></li><li><a href="/wiki/Category:Quantum_information_science" title="Category:Quantum information science">Quantum information science</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden categories: <ul><li><a href="/wiki/Category:CS1_maint:_untitled_periodical" title="Category:CS1 maint: untitled periodical">CS1 maint: untitled periodical</a></li><li><a href="/wiki/Category:Articles_with_short_description" title="Category:Articles with short description">Articles with short description</a></li><li><a href="/wiki/Category:Short_description_is_different_from_Wikidata" title="Category:Short description is different from Wikidata">Short description is different from Wikidata</a></li><li><a href="/wiki/Category:Books_with_missing_cover" title="Category:Books with missing cover">Books with missing cover</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last edited on 17 March 2025, at 01:58<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. 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