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Contextuality is a key distinguishing feature between classical and quantum physics.
Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
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Can quantum-mechanical description of physical reality be considered complete?
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Sur certaines représentations unitaires dún groupe infini de transformations
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A suggested interpretation of the quantum theory in terms of “hidden” variables. i
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Die Logik nicht gleichzeitig entscheidbarer Aussagen
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J. S. Bell · 1964
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J. S. Bell · 1966
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S. Kochen and E. P. Specker · 1967
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A. M. Gleason · 1975
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J. S. Bell · 1982
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From George Boole To John Bell — The Origins of Bell’s Inequality
I. Pitowsky · 1989
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Simple unified form for the major no-hidden-variables theorems
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Kochen-specker theorem for eight-dimensional space
M. Kernaghan and A. Peres · 1995
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Bell-Kochen-Specker theorem: A proof with 18 vectors
A. Cabello, J. M. Estebaranz, and G. García-Alcaine · 1996
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Mathematische Grundlagen der Quantenmechanik
J. von Neumann · 1996
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Topos perspective on the Kochen-Specker theorem: I. Quantum states as generalized valuations
C. J. Isham and J. Butterfield · 1998
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A topos perspective on the Kochen-Specker Theorem II. Conceptual aspects and classical analogues
J. Butterfield and C. J. Isham · 1999
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The debate between Einstein and Bohr, or how to interpret quantum mechanics
P. Marage and G. Wallenborn · 1999
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Topos perspective on the Kochen-Specker theorem: III. Von Neumann algebras as the base category
J. Hamilton, C. J. Isham, and J. Butterfield · 2000
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Hidden-variable theorems for real experiments
C. Simon, Č. Brukner, and A. Zeilinger · 2001
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Topos perspective on the Kochen-Specker theorem: IV. Interval valuations
J. Butterfield and C. J. Isham · 2002
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A Kochen-Specker inequality
J.-A. Larsson · 2002
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Kochen-Specker theorem for von Neumann algebras
A. Döring · 2005
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Contextuality for preparations, transformations, and unsharp measurements
R. W. Spekkens · 2005
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The free will theorem
J. Conway and S. Kochen · 2006
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A topos foundation for theories of physics: I. formal languages for physics
Anderas Döring, and Chris J. Isham · 2008
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A topos foundation for theories of physics: II. Daseinisation and the liberation of quantum theory
Andreas Döring, and Chris J. Isham · 2008
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A topos foundation for theories of physics: IV. Categories of systems
Andreas Döring, and Chris J. Isham · 2008
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Experimentally testable state-independent quantum contextuality
A. Cabello · 2008
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Quantum states and measures on the spectral presheaf
A. Döring · 2008
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Contextuality supplies the ‘magic’ for quantum computation
M. Howard, J. Wallman, V. Veitch, and J. Emerson · 2014
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A note on the joint measurability of POVMs and its implications for contextuality, 2014
R. Kunjwal · 2014
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Necessary and sufficient condition for state-independent contextual measurement scenarios
R. Ramanathan and P. Horodecki · 2014
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Necessary and sufficient condition for quantum state-independent contextuality
A. Cabello, M. Kleinmann, and C. Budroni · 2015
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State-independent contextuality sets for a qutrit
Z.-P. Xu, J.-L. Chen, and H.-Y. Su · 2015
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A proof of the Kochen-Specker theorem can always be converted to a state-independent noncontextuality inequality
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Simple test for hidden variables in spin-1 systems
A. A. Klyachko, M. A. Can, S. Binicioǧlu, and A. S. Shumovsky · 2008
Cited alongside, same era.
State-independent quantum contextuality with single photons
E. Amselem, M. Rådmark, M. Bourennane, and A. Cabello · 2009
Cited alongside, same era.
Universality of state-independent violation of correlation inequalities for noncontextual theories
P. Badziag, I. Bengtsson, A. Cabello, and I. Pitowsky · 2009
Cited alongside, same era.
Experimental test of quantum contextuality in neutron interferometry
H. Bartosik, J. Klepp, C. Schmitzer, S. Sponar, A. Cabello, H. Rauch, and Y. Hasegawa · 2009
Cited alongside, same era.
Bohrification
N. P. L. Chris Heunen and B. Spitters · 2009
Cited alongside, same era.
A topos for algebraic quantum theory
C. Heunen, N. P. Landsman, and B. Spitters · 2009
Cited alongside, same era.
X.-D. Yu, Y.-Q. Guo, and D. M. Tong · 2015
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Quantum Measurement
P. Busch, P. Lahti, J. Pellonpää, and K. Ylinen · 2016
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Grete Hermann - Between Physics and Philosophy
E. Crull and G. Bacciagaluppi, editors · 2016
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Contextuality-by-default: A brief overview of ideas, concepts, and terminology
E. N. Dzhafarov, J. V. Kujala, and V. H. Cervantes · 2016
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An invitation to quantum incompatibility
T. Heinosaari, T. Miyadera, and M. Ziman · 2016
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Cohomological framework for contextual quantum computations
R. Raussendorf · 2016
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Perfect commuting-operator strategies for linear system games
R. Cleve, L. Liu, and W. Slofstra · 2017
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Von Neumann’s impossibility proof: mathematics in the service of rhetorics
D. Dieks · 2017
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Topological proofs of contextuality in quantum mechanics
C. Okay, S. Roberts, S. D. Bartlett, and R. Raussendorf · 2017
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Quantum advantage with shallow circuits
S. Bravyi, D. Gosset, and R. König · 2018
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Contextuality as a resource for measurement-based quantum computation beyond qubits
M. Frembs, S. Roberts, and S. D. Bartlett · 2018
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Necessary and sufficient condition for contextuality from incompatibility
Z.-P. Xu and A. Cabello · 2019
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Noncontextuality inequalities from antidistinguishability
M. Leifer and C. Duarte · 2020
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Homotopical approach to quantum contextuality
C. Okay and R. Raussendorf · 2020
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Proof of the Peres conjecture for contextuality
Z.-P. Xu, J.-L. Chen, and O. Gühne · 2020
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Kochen-Specker contextuality
C. Budroni, A. Cabello, O. Gühne, M. Kleinmann, and J.-A. Larsson · 2022
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Contextuality and the fundamental theorems of quantum mechanics
A. Döring and M. Frembs · 2022
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Characterization of nonsignaling bipartite correlations corresponding to quantum states
M. Frembs and A. Döring · 2022
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The Kochen-Specker theorem
C. Held · 2022
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Bipartite entanglement and the arrow of time
M. Frembs · 2023
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Gleason’s theorem for composite systems
M. Frembs and A. Döring · 2023
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Hierarchies of resources for measurement-based quantum computation
M. Frembs, S. Roberts, E. T. Campbell, and S. D. Bartlett · 2023
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(forthcoming)
M. Frembs, 2024 · 2024
Closest in time.
No-broadcasting characterizes operational contextuality, 2024
P. Jokinen, M. Weilenmann, M. Plávala, J.-P. Pellonpää, J. Kiukas, and R. Uola · 2024
Closest in time.