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Mermin's simple "pentagram" proof of the Kochen-Specker theorem is examined from various perspectives.
A. M. Gleason, Measures on the closed subspaces of a Hilbert space, J. Math. Mech
1957
Earlier work this paper cites.
J. Bell, On the Einstein-Podolsky-Rosen paradox, Physics
1964
Earlier work this paper cites.
J. S. Bell, On the problem of hidden variables in quantum mechanics, Rev. Mod. Phys
1966
Earlier work this paper cites.
S. Kochen and E. P. Specker, The problem of hidden variables in quantum mechanics, J. Math. Mech
1967
Earlier work this paper cites.
J. F. Clauser, M. A. Horne, A. Shimony and R. A. Holt, Proposed experiment to test local hidden-variable theories, Phys. Rev. Lett
1970
Earlier work this paper cites.
E. Christensen, Measures on projections and physical states, Comm. Math. Phys
1982
Earlier work this paper cites.
F. J. Yeadon, Measures on projections in W ∗ W^{*} -algebras of type II1, Bull. London Math. Soc
1983
Earlier work this paper cites.
F. J. Yeadon, Finitely additive measures on projections in finite W ∗ W^{*} -algebras, Bull. London Math. Soc
1984
Earlier work this paper cites.
D. M. Greenberger, M. A. Horne and A. Zeilinger, Going beyond Bell’s theorem, In Bell’s Theorem, Quantum Theory, and Conceptions of the Universe , ed. M. Kafatos (Kluwer 1989), pp. 69-72
1989
Earlier work this paper cites.
S. Maeda, Probability measures on projections in von Neumann algebras, Rev. Math. Phys
1989
Earlier work this paper cites.
N. D. Mermin, Extreme quantum entanglement in a superposition of macroscopically distinct states, Phys. Rev. Lett
1990
Earlier work this paper cites.
J. E. Humphreys, Reflection Groups and Coxeter groups
1990
Earlier work this paper cites.
A. Peres, Two simple proofs of the Kochen-Specker theorem, J. Phys. A
1991
Earlier work this paper cites.
A. Peres, Quantum Theory: Concepts and Methods
1993
Earlier work this paper cites.
M. Kernaghan and A. Peres, Kochen-Specker theorem for eight-dimensional space, Phys. Lett. A
1995
Earlier work this paper cites.
I. Moerdijk, Classifying Spaces and Classifying Topoi
1995
Cited alongside, same era.
C. J. Isham and J. Butterfield, Topos perspective on the Kochen-Specker theorem: I. Quantum states as generalized valuations, Int. J. Th. Phys. 37
1998
Cited alongside, same era.
C. J. Isham and J. Butterfield, Topos perspective on the Kochen-Specker theorem: II. Conceptual aspects and classical analogues, Int. J. Th. Phys. 38
1999
Cited alongside, same era.
J. Zimba and R. Penrose, On Bell non-locality without probabilities: some curious geometry, in Quantum Reflections
2000
Cited alongside, same era.
C. J. Isham, J. Butterfield and A. Hamilton, Topos perspective on the Kochen-Specker theorem: III. Von Neumann algebras as the base category, Int. J. Th. Phys. 39
2000
Cited alongside, same era.
S. Abramsky and A. Brandenburger, The sheaf-theoretic structure of non-locality and contextuality, N. J. Phys. 13
2011
Later among the works it cites.
C. J. Isham and A. Döring, ‘What is a thing’?: Topos theory in the foundations of physics, In New Structures for Physics , ed. Bob Coecke (Springer, 2011), pp. 753-940
2011
Later among the works it cites.
S. Abramsky, S. Mansfield and R. S. Barbosa, The Cohomology of non-locality and contextuality, in Proceedings 8th International Workshop on Quantum Physics and Logic, Nijmegen, Netherlands (2012), pp. 1-14
2012
Later among the works it cites.
S. Abramsky and L. Hardy, Logical Bell inequalities, Phys. Rev. A
2012
Later among the works it cites.
M. Waegell, P. K. Aravind, Proofs of the Kochen-Specker theorem based on a system of three qubits, J. Phys. A: Math. Theor
2012
Later among the works it cites.
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C. J. Isham and J. Butterfield, Topos perspective on the Kochen-Specker theorem: IV. Internal valuations, Int. J. Th. Phys. 41
2000
Cited alongside, same era.
R. Clifton, Complementarity between position and momentum as a consequence of Kochen-Specker arguments, Phys. Lett. A
2000
Cited alongside, same era.
N. Bourbaki, Elements of Mathematics. Lie Groups and Lie Algebras. Chapters 4–6
2002
Cited alongside, same era.
P. Busch, Quantum states and generalized observables: A simple proof of Gleason’s theorem, Phys. Rev. Lett
2003
Cited alongside, same era.
A. Cabello, Kochen-Specker theorem for a single qubit using positive operator-valued measures, Phys. Rev. Lett
2003
Cited alongside, same era.
J. Hamhalter, Quantum Measure Theory
2003
Cited alongside, same era.
R. W. Spekkens, Contextuality for preparations, transformations, and unsharp measurements, Phys. Rev. A
2005
Cited alongside, same era.
C. J. Isham and A. Döring, Classical and quantum probabilities as truth values, J. Math. Phys. 53
2012
Later among the works it cites.
R. Raussendorf, Contextuality in measurement-based quantum computation, Phys. Rev. A 88
2013
Later among the works it cites.
S. P. Toh, Kochen-Specker sets with a mixture of 16 rank-1 and 14 rank-2 projectors for a three-qubit system, Chin. Phys. Lett
2013
Later among the works it cites.
S. Mansfield, The mathematical structure of non-locality and contextuality, Ph.D. thesis, University of Oxford (2013)
2013
Later among the works it cites.
A. Cabello, S. Severini and A. Winter, Graph-theoretic approach to quantum correlations, Phys. Rev. Lett
2014
Later among the works it cites.
M. Howard, J. J. Wallman, V. Veitch and J. Emerson, Contextuality supplies the magic for quantum computation, Nature 510
2014
Later among the works it cites.
A. Acín, T. Fritz, A. Leverrier and A. B. Sainz, A combinatorial approach to nonlocality and contextuality, Comm. Math. Phys
2015
Closest in time.
L. Loveridge, R. Dridi and R. Raussendorf, Topos logic in measurement-based quantum computation, Proc. R. Soc. A. 471
2015
Closest in time.
N. Delfosse, P. A. Guerin, J. Bian and R. Raussendorf, Wigner function negativity and contextuality in quantum computation on rebits, Phys. Rev. X
2015
Closest in time.