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Contextuality supplies the 'magic' for quantum computation

Mark Howard, Joel Wallman, Victor Veitch, Joseph Emerson
<span title="">2014</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/drfdii35rzaibj3aml5uhvr5xm" style="color: black;">Nature</a> </i> &nbsp;
Here we prove a remarkable equivalence between the onset of contextuality and the possibility of universal quantum computation via magic state distillation.  ...  This is a conceptually satisfying link because contextuality provides one of the fundamental characterizations of uniquely quantum phenomena and, moreover, magic state distillation is the leading model  ...  Here we show that quantum contextuality plays a critical role in characterizing the suitability of quantum states for magic state distillation.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/nature13460">doi:10.1038/nature13460</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/24919152">pmid:24919152</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/nyooeh5mibcb3dhmctqhhcgrom">fatcat:nyooeh5mibcb3dhmctqhhcgrom</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191026222740/https://arxiv.org/pdf/1401.4174v1.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/bc/83/bc832e7ed122bdaf80b14779c92ae4db30020723.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/nature13460"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> nature.com </button> </a>

Balancing act

Alban Ordureau, J. Wade Harper
<span title="">2014</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/drfdii35rzaibj3aml5uhvr5xm" style="color: black;">Nature</a> </i> &nbsp;
Knowing that contextuality supplies the magic for quantum computers is much more than a satisfying connection.  ...  supplied with magic states, then these magic states must hold the key to the quantum computer's increased performance.  ...  Knowing that contextuality supplies the magic for quantum computers is much more than a satisfying connection.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/nature13500">doi:10.1038/nature13500</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/24896184">pmid:24896184</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jp7nl6gtjngnljifsxzh4jorsi">fatcat:jp7nl6gtjngnljifsxzh4jorsi</a> </span>
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Contextual bound states for qudit magic state distillation [article]

Shiroman Prakash, Aashi Gupta
<span title="2020-01-03">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Identifying necessary and sufficient conditions for universal quantum computing is a long-standing open problem for which contextuality is, perhaps, the only promising solution [Howard et al., Nature 510  ...  - these states exhibit contextuality but are useless for magic state distillation.  ...  In particular, one could ask, What is the computational power of a fault tolerant quantum computer in the magic state model with access to a large, but finite, supply of states which exhibit a small violation  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1905.00392v2">arXiv:1905.00392v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ob2ojgk7vncqxjhnpxfj4fpdwq">fatcat:ob2ojgk7vncqxjhnpxfj4fpdwq</a> </span>
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Twenty years of quantum contextuality at USTC [article]

Zheng-Hao Liu, Qiang Li, Bi-Heng Liu, Yun-Feng Huang, Jin-Shi Xu, Chuan-Feng Li, Guang-Can Guo
<span title="2022-05-31">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Finally, we discuss the investigation on the role of contextuality in general quantum information science and its application in quantum computation.  ...  Quantum contextuality is one of the most perplexing and peculiar features of quantum mechanics.  ...  This work was supported by Innovation Program for Quantum Science and Technology (Grants No. 2021ZD0301400) the National Natural Science Foundation of  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2205.15538v1">arXiv:2205.15538v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vqpsxfdqo5axpiewtbynrqc3g4">fatcat:vqpsxfdqo5axpiewtbynrqc3g4</a> </span>
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Winning strategies for pseudo-telepathy games using single non-local box [article]

Samir Kunkri, Guruprasad Kar, Sibasish Ghosh, Anirban Roy
<span title="2006-02-20">2006</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
It is also shown that the magic square pseudo-telepathy game of any size can be won by using just two ebits of entanglement -- for quantum strategy, and by a single NL-box -- for non-local strategy.  ...  Using a single NL-box, a winning strategy is given for the impossible colouring pseudo-telepathy game for the set of vectors having Kochen-Specker property in four dimension.  ...  For the sake of completeness, the quantum winning strategy for the magic square pseudotelepathy game of size three is described briefly in section VIII which uses two ebits of shared entanglement between  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/quant-ph/0602064v2">arXiv:quant-ph/0602064v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qprdgw3bd5gsderbwkfm7h445a">fatcat:qprdgw3bd5gsderbwkfm7h445a</a> </span>
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Magic State Distillation with the Ternary Golay Code [article]

Shiroman Prakash
<span title="2020-03-05">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We apply this code to magic state distillation, a leading approach to fault-tolerant quantum computing.  ...  The ternary Golay code -- one of the first and most beautiful classical error-correcting codes discovered -- naturally gives rise to an 11-qutrit quantum error correcting code.  ...  Acknowledgements The author thanks Prof. PS Satsangi for guidance. The author also thanks Mark Howard for comments on an earlier draft of the manuscript.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2003.02717v1">arXiv:2003.02717v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fzfn7izepzhrzo2tg2dxj3ak6m">fatcat:fzfn7izepzhrzo2tg2dxj3ak6m</a> </span>
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Qutrit Magic State Distillation Tight in Some Directions

Hillary Dawkins, Mark Howard
<span title="2015-07-13">2015</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pkmpevvs3bgkhal5dvrmsu5mvq" style="color: black;">Physical Review Letters</a> </i> &nbsp;
Magic state distillation is a crucial component in the leading approaches to implementing universal fault tolerant quantum computation, with existing protocols for both qubit and higher dimensional systems  ...  As a consequence of recent results, this implies that there is a family of quantum states that enable universality if and only if they exhibit contextuality with respect to stabilizer measurements.  ...  .− We thank Earl Campbell for helpful comments.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.115.030501">doi:10.1103/physrevlett.115.030501</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/26230774">pmid:26230774</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iiyhim7ktnfzvm5cfrpm55gz2u">fatcat:iiyhim7ktnfzvm5cfrpm55gz2u</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180724183343/https://link.aps.org/accepted/10.1103/PhysRevLett.115.030501" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/32/1d/321d854a9fc268af006134f5e585ca28f8ff4863.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.115.030501"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Experimental test of non-classicality of quantum mechanics using an individual atomic solid-state quantum system [article]

Xi Kong, Mingjun Shi, Mengqi Wang, Fazhan Shi, Pengfei Wang, Fei Kong, Pu Huang, Qi Zhang, Wenchao Ma, Hongwei Chen, Chenyong Ju, Mingliang Tian, Changkui Duan, Sixia Yu (+1 others)
<span title="2016-02-08">2016</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Moreover, the contextuality has been shown to play a critical role to supply the 'magic' for quantum computation, making more extensive experimental verifications in potential systems for quantum computing  ...  Our experimental results confirm that the quantum contextuality cannot be explained by nonlocal entanglement, revealing the fundamental quantumness other than locality/nonlocality within the intrinsic  ...  ous and surprising features of quantum mechanics, providing the magic for quantum computation and conflicts strongly with our experience in daily lives.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1602.02455v1">arXiv:1602.02455v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/eij6b3ml5jcankikvxfh63nw2u">fatcat:eij6b3ml5jcankikvxfh63nw2u</a> </span>
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It from Qubit: How to Draw Quantum Contextuality

Michel Planat
<span title="2014-04-04">2014</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dmr4kpn2yreovpdxpdiqtjcrnu" style="color: black;">Information</a> </i> &nbsp;
Wheeler's observer-participancy and the related it from bit credo refer to quantum non-locality and contextuality.  ...  The mystery of these concepts slightly starts unveiling if one encodes the (in)compatibilities between qubit observables in the relevant finite geometries.  ...  Lochak for inviting me to attend the Luminy school on "The Grothendieck Theory of Dessins d'Enfants", held April 1993, and A. Giorgetti for his  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/info5020209">doi:10.3390/info5020209</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/m7bhbo7s2ffghaakoydesyxkbq">fatcat:m7bhbo7s2ffghaakoydesyxkbq</a> </span>
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Approximate stabilizer rank and improved weak simulation of Clifford-dominated circuits for qudits

Yifei Huang, Peter Love
<span title="2019-05-06">2019</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/z3u6fzrh4fdvhnzujueyvzipwi" style="color: black;">Physical Review A</a> </i> &nbsp;
We generalize their approximate stabilizer rank method for weak simulation to qudits and obtain the scaling of the approximate stabilizer rank with the number of single-qudit magic states.  ...  Bravyi and Gosset recently gave classical simulation algorithms for quantum circuits dominated by Clifford operations.  ...  ACKNOWLEDGEMENTS The authors thank Robert Lemke-Oliver and Dmitris Koukoulopoulos for useful discussions on Gauss sums and modular operations and David Gosset for helpful discussions. Y.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.99.052307">doi:10.1103/physreva.99.052307</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wxby3jitefbbdcy4gvsdjamr2i">fatcat:wxby3jitefbbdcy4gvsdjamr2i</a> </span>
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Simultaneous observation of quantum contextuality and quantum nonlocality

Xiao-Min Hu, Bi-Heng Liu, Jiang-Shan Chen, Yu Guo, Yu-Chun Wu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo
<span title="">2018</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dn6dcjz2unefzj5uifc57sz55a" style="color: black;">Science Bulletin</a> </i> &nbsp;
From the perspective of quantum information, our experiment proves in principle that the two resources, quantum nonlocality and quantum contextuality, can be utilized simultaneously.  ...  In this paper, we show that in a qutrit-qutrit system we can observe quantum nonlocality and quantum contextuality at the same time.  ...  It has been recently recognized that quantum nonlocality is essential for device-independent secure communication [4] [5] [6] , and quantum contextuality supplies the power for universal quantum computation  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.scib.2018.06.018">doi:10.1016/j.scib.2018.06.018</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/snkok3e6tfdnzetqzpzbxuo5pa">fatcat:snkok3e6tfdnzetqzpzbxuo5pa</a> </span>
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Generalized Robustness of Contextuality

Huixian Meng, Huaixin Cao, Wenhua Wang, Yajing Fan, Liang Chen
<span title="2016-09-01">2016</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4d3elkqvznfzho6ki7a35bt47u" style="color: black;">Entropy</a> </i> &nbsp;
Motivated by the importance of contextuality and a work on the robustness of the entanglement of mixed quantum states, the robustness of contextuality (RoC) R C (e) of an empirical model e against non-contextual  ...  Lastly, for any n-cycle contextual box e, a relationship between the GRoC R g (e) and the extent ∆ e of violating the non-contextual inequalities is established.  ...  The work in [6] proved that contextuality can supply the "magic" for quantum computation by establishing a remarkable equivalence between the onset of contextuality and the possibility of universal quantum  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e18090297">doi:10.3390/e18090297</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zphpycfurjaxho4tfdtgw36ptm">fatcat:zphpycfurjaxho4tfdtgw36ptm</a> </span>
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Application of a Resource Theory for Magic States to Fault-Tolerant Quantum Computing

Mark Howard, Earl Campbell
<span title="2017-03-03">2017</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pkmpevvs3bgkhal5dvrmsu5mvq" style="color: black;">Physical Review Letters</a> </i> &nbsp;
Motivated by their necessity for most fault-tolerant quantum computation schemes, we formulate a resource theory for magic states.  ...  We first show that robustness of magic is a well-behaved magic monotone that operationally quantifies the classical simulation overhead for a Gottesman-Knill type scheme using ancillary magic states.  ...  With only free resources, the computation can be efficiently classically simulated, whereas with a liberal supply of pure magic states, universal quantum computation is unlocked.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.118.090501">doi:10.1103/physrevlett.118.090501</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/28306308">pmid:28306308</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/icb25b2ypra6fnieyxkf2ksw4i">fatcat:icb25b2ypra6fnieyxkf2ksw4i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180723144658/http://eprints.whiterose.ac.uk/113586/1/Robustness_main_appendix.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/29/7d/297d45d96a719a5b5fa42831a1889849fa074343.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.118.090501"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Unified framework for magic state distillation and multiqubit gate synthesis with reduced resource cost

Earl T. Campbell, Mark Howard
<span title="2017-02-09">2017</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/z3u6fzrh4fdvhnzujueyvzipwi" style="color: black;">Physical Review A</a> </i> &nbsp;
The standard approach to fault-tolerant quantum computation is to store information in a quantum error correction code, such as the surface code, and process information using a strategy that can be summarized  ...  Therefore, synthillation removes the need for a costly round of magic state distillation. We also present several additional results on the multiqubit gate-synthesis problem.  ...  With only free resources, the computation can be efficiently classically simulated, whereas with a liberal supply of pure magic states, universal quantum computation is unlocked.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.95.022316">doi:10.1103/physreva.95.022316</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hheze2ews5fybjtotzt3lkjy34">fatcat:hheze2ews5fybjtotzt3lkjy34</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180719100158/http://eprints.whiterose.ac.uk/112413/1/1609.07488.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/af/8a/af8ac90738c60fe4a9816c2d0bc8cd3884fd3bb6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.95.022316"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Quantum probability: a reliable tool for an agent or a reliable source of reality?

C. de Ronde, H. Freytes, G. Sergioli
<span title="2019-03-20">2019</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/munzfrczajgrfktmdt7fobcory" style="color: black;">Synthese</a> </i> &nbsp;
Taking as a standpoint our proposed intensive account of quantum probability we discuss the possibilities and advantages it might open for the modeling and development of both quantum computation and quantum  ...  While the subjectivist interpretation of quantum probability explains it as a reliable predictive tool for an agent in order to compute measurement outcomes, the objectivist interpretation understands  ...  Acknowledgements We would like to thank to anonymous referees for their careful reading and insightful comments and criticism which have improved the article substantially.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11229-019-02177-x">doi:10.1007/s11229-019-02177-x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yb2i5j35oba6pbrcapdj6p7vce">fatcat:yb2i5j35oba6pbrcapdj6p7vce</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200306083019/http://philsci-archive.pitt.edu/15808/1/FINAL%20DeR_Fr_Se.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/82/06/8206ebf752fe18780483d5294046f3a82a1d52ed.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11229-019-02177-x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>
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