Kochen-Specker Vectors
TL;DR: Some reference citations in the text of this paper are incorrect and should be amended as listed below as mentioned in this paper. The reference list is correct as published and the reference lists are correct as cited in this paper.
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Abstract: Some reference citations in the text of this paper are incorrect and should be amended as listed below. The reference list is correct as published. Page 1579, line 5: [23, 34, 38, 39] should read [23, 34, 35, 36] Page 1579, line 9: [40] should read [37] Page 1580, line 8: [31, 33, 35] should read [31, 33, 38] Page 1580, line 14: [36] should read [39] Page 1580, line 36: [36] should read [39] Page 1580, line 38: [37] should read [40] Page 1580, line 42: [38] should read [35] Page 1581, line 3 of caption: [33, 35] should read [33, 38] Page 1583, line 12: [41] should read [42] Page 1587, line 9: [39] should read [36] Page 1587, line 11: [39] should read [36] Page 1587, line 18: [38, 39] should read [35, 36] Page 1587, line 37: [39] should read [36] Page 1589, line 18: [39, 46, 47] should read [36, 46, 47] Page 1590, line 2: [39] should read [36] age 1590, line 3: [39] should read [36]
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Citations
The sheaf-theoretic structure of non-locality and contextuality
TL;DR: It is shown that contextuality, and non-locality as a special case, correspond exactly to obstructions to the existence of global sections, and a linear algebraic approach to computing these obstructions is described, which allows a systematic treatment of arguments for non- Locality and contextuality.
The Sheaf-Theoretic Structure Of Non-Locality and Contextuality
TL;DR: In this paper, the authors use the mathematical language of sheaf theory to give a unified treatment of non-locality and contextuality, in a setting which generalizes the familiar probability tables used in non-localality theory to arbitrary measurement covers; this includes Kochen-Specker configurations and more.
366
Experimental non-classicality of an indivisible quantum system
Radek Lapkiewicz,Peizhe Li,Christoph Schaeff,Christoph Schaeff,Nathan K. Langford,Nathan K. Langford,Nathan K. Langford,Sven Ramelow,Sven Ramelow,Marcin Wieśniak,Marcin Wieśniak,Anton Zeilinger,Anton Zeilinger +12 more
TL;DR: An experiment with single photonic qutrits provides evidence that no joint probability distribution describing the outcomes of all possible measurements—and, therefore, no non-contextual theory—can exist.
320
A Combinatorial Approach to Nonlocality and Contextuality
TL;DR: In this article, a general formalism for contextuality scenarios based on the combinatorics of hypergraphs was developed, which significantly refines a similar recent approach by Cabello, Severini and Winter (CSW).
200
A Combinatorial Approach to Nonlocality and Contextuality
TL;DR: In this article, a general formalism for contextuality scenarios based on the combinatorics of hypergraphs is developed, which significantly refines a similar recent approach by Cabello, Severini and Winter (CSW).
References
On the Problem of Hidden Variables in Quantum Mechanics
TL;DR: The demonstrations of von Neumann and others, that quantum mechanics does not permit a hidden variable interpretation, are reconsidered in this article, and it is shown that their essential axioms are unreasonable.
•Book
Quantum Theory: Concepts and Methods
Asher Peres,Leslie E. Ballentine +1 more
- 01 Jan 1993
TL;DR: In this article, the authors introduce the concept of complex vector space and describe a set of properties of composite systems, including Bell's Theorem, and the notion of spacetime symmetry.
3.3K
The Problem of Hidden Variables in Quantum Mechanics
Simon Kochen,E. P. Specker +1 more
TL;DR: The problem of hidden variables in quantum theory has been a controversial and obscure subject for decades as mentioned in this paper, and there are many proofs of the non-existence of such variables, most notably von Neumann's proof, and various attempts to introduce hidden variables such as de Broglie [4] and Bohm [1] and [2].
2.1K