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Certifying individual quantum devices with minimal assumptions is crucial for the development of quantum technologies. Here, we investigate how to leverage single-system contextuality to realize self-testing. We develop a robust…

We performed an experimental test of the Kochen-Specker theorem based on an inequality derived from the Peres-Mermin proof, using spin-path (momentum) entanglement in a single neutron system. Following the strategy proposed by Cabello et…

Quantum Physics · Physics 2009-07-28 H. Bartosik , J. Klepp , C. Schmitzer , S. Sponar , A. Cabello , H. Rauch , Y. Hasegawa

Bell inequalities play a central role in the study of quantum non-locality and entanglement, with many applications in quantum information. Despite the huge literature on Bell inequalities, it is not easy to find a clear conceptual answer…

Quantum Physics · Physics 2012-06-21 Samson Abramsky , Lucien Hardy

We present and experimentally demonstrate a novel non-classical phenomenon, bi-contextuality, observed in quantum systems prepared by two independent sources. This discovery plays a key role in the developing framework of network…

We propose a family of noncontextuality inequalities and show that they can be used for certification of multiqubit quantum systems. Our scheme, unlike those based on non-locality, does not require spatial separation between the subsystems,…

Quantum Physics · Physics 2023-03-28 Rafael Santos , Chellasamy Jebarathinam , Remigiusz Augusiak

We describe a scheme of quantum computation with magic states on qubits for which contextuality is a necessary resource possessed by the magic states. More generally, we establish contextuality as a necessary resource for all schemes of…

Quantum Physics · Physics 2017-06-27 Robert Raussendorf , Dan E. Browne , Nicolas Delfosse , Cihan Okay , Juan Bermejo-Vega

The testability of the Kochen-Specker theorem is a subject of ongoing controversy. A central issue is that experimental implementations relying on sequential measurements cannot achieve perfect compatibility between the measurements and…

Quantum Physics · Physics 2013-05-15 Jochen Szangolies , Matthias Kleinmann , Otfried Gühne

For eight-dimensional quantum systems there is a Kochen-Specker (KS) set of 40 quantum yes-no tests that is related to the Greenberger-Horne-Zeilinger (GHZ) proof of Bell's theorem. Here we experimentally implement this KS set using an…

Models of a phenomenon are often developed by examining it under different experimental conditions, or measurement contexts. The resultant probabilistic models assume that the underlying random variables, which define a measurable set of…

Artificial Intelligence · Computer Science 2018-02-05 Peter D. Bruza

Quantum processes cannot be reduced, in a nontrivial way, to classical processes without specifying the context in the description of a measurement procedure. This requirement is implied by the Kochen-Specker theorem in the…

Quantum Physics · Physics 2023-02-08 A. Montina , S. Wolf

Contextuality has been conjectured to be a super-classical resource for quantum computation, analogous to the role of non-locality as a super-classical resource for communication. We show that the presence of contextuality places a lower…

Quantum Physics · Physics 2018-02-23 Angela Karanjai , Joel J. Wallman , Stephen D. Bartlett

Quantum metrology promises higher precision measurements than classical methods. Entanglement has been identified as one of quantum resources to enhance metrological precision. However, generating entangled states with high fidelity…

Quantum Physics · Physics 2024-07-16 Jeongwoo Jae , Jiwon Lee , M. S. Kim , Kwang-Geol Lee , Jinhyoung Lee

Finding a set of empirical criteria fulfilled by any theory satisfying the generalized notion of noncontextuality is a challenging task of both operational and foundational importance. This work presents a methodology for constructing the…

Quantum Physics · Physics 2026-05-04 Soumyabrata Hazra , Debashis Saha , Anubhav Chaturvedi , Subhankar Bera , A. S. Majumdar

Contextuality is a central feature of quantum theory, traditionally understood as the impossibility of reproducing quantum measurement statistics using noncontextual ontological models. We study classical ontological descriptions in which a…

Artificial Intelligence · Computer Science 2026-04-16 Song-Ju Kim

We investigate the set of qutrit states in terms of symmetric states of two qubits that violate the minimal contextual inequality, namely the Klyachko-Can-Binicoglu-Shumovsky (KCBS) inequality. The physical system that provides a natural…

The results of behavioral experiments typically exhibit inconsistent connectedness, i.e., they violate the condition known as "no-signaling," "no-disturbance," or "marginal selectivity." This prevents one from evaluating these experiments…

Neurons and Cognition · Quantitative Biology 2017-09-05 Víctor H. Cervantes , Ehtibar N. Dzhafarov

The prevailing view is that quantum phenomena can be harnessed to tackle certain problems beyond the reach of classical approaches. Quantifying this capability as a quantum-classical separation and demonstrating it on current quantum…

Quantum Physics · Physics 2025-12-03 Shashwat Kumar , Eliott Rosenberg , Alejandro Grajales Dau , Rodrigo Cortinas , Dmitri Maslov , Richard Oliver , Adam Zalcman , Matthew Neeley , Alice Pagano , Aaron Szasz , Ilya Drozdov , Zlatko Minev , Craig Gidney , Noureldin Yosri , Stijn J. de Graaf , Aniket Maiti , Dmitry Abanin , Rajeev Acharya , Laleh Aghababaie Beni , Georg Aigeldinger , Ross Alcaraz , Sayra Alcaraz , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Walt Askew , Nikita Astrakhantsev , Juan Atalaya , Ryan Babbush , Brian Ballard , Joseph C. Bardin , Hector Bates , Andreas Bengtsson , Martin Bigdeli , Alexander Bilmes , Simon Bilodeau , Felix Borjans , Alexandre Bourassa , Jenna Bovaird , Dylan Bowers , Leon Brill , Peter Brooks , Michael Broughton , David A. Browne , Brett Buchea , Bob B. Buckley , Tim Burger , Brian Burkett , Nicholas Bushnell , Jamal Busnaina , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Silas Chen , Zijun Chen , Ben Chiaro , Liang-Ying Chih , Jahan Claes , Agnetta Y. Cleland , Bryan Cochrane , Matt Cockrell , Josh Cogan , Roberto Collins , Paul Conner , Harold Cook , William Courtney , Alexander L. Crook , Ben Curtin , Sayan Das , Laura De Lorenzo , Sean Demura , Agustin Di Paolo , Paul Donohoe , Andrew Dunsworth , Valerie Ehimhen , Alec Eickbusch , Aviv Moshe Elbag , Lior Ella , Mahmoud Elzouka , David Enriquez , Catherine Erickson , Vinicius S. Ferreira , Marcos Flores , Leslie Flores Burgos , Ebrahim Forati , Jeremiah Ford , Austin G. Fowler , Brooks Foxen , Masaya Fukami , Alan Wing Lun Fung , Lenny Fuste , Suhas Ganjam , Gonzalo Garcia , Christopher Garrick , Robert Gasca , Helge Gehring , Élie Genois , William Giang , Dar Gilboa , James E. Goeders , Ed Gonzales , Raja Gosula , Dietrich Graumann , Joel Grebel , Alex Greene , Jonathan A. Gross , Jose Guerrero , Tan Ha , Steve Habegger , Tanner Hadick , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Jeanne Hartshorn , Stephen Heslin , Paula Heu , Oscar Higgott , Reno Hiltermann , Jeremy Hilton , Hsin-Yuan Huang , Mike Hucka , Ashley Huff , William J. Huggins , Evan Jeffrey , Shaun Jevons , Zhang Jiang , Xiaoxuan Jin , Cody Jones , Chaitali Joshi , Pavol Juhas , Andreas Kabel , Dvir Kafri , Hui Kang , Amir H. Karamlou , Ryan Kaufman , Kostyantyn Kechedzhi , Trupti Khaire , Tanuj Khattar , Mostafa Khezri , Seon Kim , Paul V. Klimov , Can M. Knaut , Bryce Kobrin , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , Ryuho Kudo , Ben Kueffler , Arun Kumar , Vladislav D. Kurilovich , Vitali Kutsko , David Landhuis , Tiano Lange-Dei , Brandon W. Langley , Pavel Laptev , Kim-Ming Lau , Loïck Le Guevel , Emma Leavell , Justin Ledford , Joy Lee , Kenny Lee , Brian J. Lester , Wendy Leung , Lily L Li , Wing Yan Li , Alexander T. Lill , William P. Livingston , Matthew T. Lloyd , Aditya Locharla , Daniel Lundahl , Aaron Lunt , Sid Madhuk , Ashley Maloney , Salvatore Mandrà , Leigh S. Martin , Orion Martin , Eric Mascot , Paul Masih Das , Cameron Maxfield , Jarrod R. McClean , Matt McEwen , Seneca Meeks , Anthony Megrant , Kevin C. Miao , Reza Molavi , Sebastian Molina , Shirin Montazeri , Charles Neill , Michael Newman , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Murphy Yuezhen Niu , Logan Oas , William D. Oliver , Raymond Orosco , Kristoffer Ottosson , Sherman Peek , David Peterson , Alex Pizzuto , Rebecca Potter , Orion Pritchard , Michael Qian , Chris Quintana , Ganesh Ramachandran , Arpit Ranadive , Matthew J. Reagor , Rachel Resnick , David M. Rhodes , Daniel Riley , Gabrielle Roberts , Roberto Rodriguez , Emma Ropes , Emma Rosenfeld , Dario Rosenstock , Elizabeth Rossi , David A. Rower , Kannan Sankaragomathi , Murat Can Sarihan , Kevin J. Satzinger , Sebastian Schroeder , Henry F. Schurkus , Aria Shahingohar , Michael J. Shearn , Aaron Shorter , Noah Shutty , Vladimir Shvarts , Volodymyr Sivak , Spencer Small , W. Clarke Smith , David A. Sobel , Barrett Spells , Sofia Springer , George Sterling , Jordan Suchard , Alexander Sztein , Madeline Taylor , Jothi Priyanka Thiruraman , Douglas Thor , Dogan Timucin , Eifu Tomita , Alfredo Torres , M. Mert Torunbalci , Hao Tran , Abeer Vaishnav , Justin Vargas , Sergey Vdovichev , Guifre Vidal , Catherine Vollgraff Heidweiller , Meghan Voorhees , Steven Waltman , Jonathan Waltz , Shannon X. Wang , Brayden Ware , James D. Watson , Travis Weidel , Theodore White , Kristi Wong , Bryan W. K. Woo , Christopher J. Wood , Maddy Woodson , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Elliot Young , Grayson Young , Ran Zhang , Yaxing Zhang , Ningfeng Zhu , Nicholas Zobrist , Zhenjie Zou , Shruti Puri , Erik Lucero , Julian Kelly , Sergio Boixo , Yu Chen , Vadim Smelyanskiy , Hartmut Neven , Pedram Roushan , Michel Devoret

We present a proof for a conjecture previously formulated by Dzhafarov, Kujala, and Larsson (Foundations of Physics, in press, arXiv:1411.2244). The conjecture specifies a measure for the degree of contextuality and a criterion (necessary…

Quantum Physics · Physics 2019-09-16 Janne V. Kujala , Ehtibar N. Dzhafarov

In the Contextuality-by-Default theory random variables representing measurement outcomes are labeled contextually, i.e., not only by what they measure but also under what conditions (in what contexts) the measurements are made, including…

Quantum Physics · Physics 2018-12-11 Ehtibar N. Dzhafarov

In a paper, Al-Qasimi [Physics Letters A 449 (2022) 128347] proposed a criterion for contextuality of two-qubit systems extending Peres' proof of contextuality [Phys. Lett. A 151 (1990) 107]. Using this criterion, Al-Qasimi argued that…

Quantum Physics · Physics 2026-01-06 Chellasamy Jebarathinam