Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Acta Sinica Quantum Optica

Thought Experiment to Test the Bell-Kochen-Specker Theory with Entaglement State of a Pair of Polarized photons

HE Ming-ming

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

Quantum entaglement is one of hot subjects of fundamental physics in recent years. Bell-Kochen-Specker theory, which shows the inconsistency between the theory of hidden variables and quantum mechanics, implies the global correlation of quantum systems. We in present paper analyse the entaglement state of a pair of polarized photons created by annihilation of the electron-positron pair and explain explicitly the inconsistency between background independent theory of hidden variables and quantum mechanics.

Related papers

Proposed Experimental Tests of the Bell-Kochen-Specker Theorem

Adán Cabello, Guillermo García Alcaine

For a two-particle two-state system, sets of compatible propositions exist for which quantum mechanics and noncontextual hidden-variable theories make conflicting predictions for every individual system whatever its quantum state. This permits a simple all-or-nothing state-independent experimental verification of the Bell-Kochen-Specker theorem.

arXiv:quant-ph/9709047•Physical Review Letters•Mar 2, 1998•116 citations

Proposed Experiment to Test Local Hidden-Variable Theories

John F. Clauser, Michael Horne, Abner Shimony +1 more

A theorem of Bell, proving that certain predictions of quantum mechanics are inconsistent with the entire family of local hidden-variable theories, is generalized so as to apply to realizable experiments. A proposed extension of the experiment of Kocher and Commins, on the polarization correlation of a pair of optical photons, will provide a decisive test between quantum mechanics and local hidden-variable theories.

Physical Review Letters•Oct 13, 1969•7,573 citations

KOCHEN–SPECKER THEOREM AND EXPERIMENTAL TEST ON HIDDEN VARIABLES

Adán Cabello

A recent proposal to experimentally test quantum mechanics against noncontextual hidden-variable theories [Phys. Rev. Lett.80, 1797 (1998)] is shown to be related with the smallest proof of the Kochen–Specker theorem currently known [Phys. Lett.A212, 183 (1996)]. This proof contains eighteen yes-no questions about a four-dimensional physical system, combined in nine mutually incompatible tests. When these tests are considered as tests about a two-part two-state system, then quantum mechanics and noncontextual hidden variables make the same predictions for eight of them, but make different predictions for the ninth. Therefore, this ninth test would allow us to discriminate between quantum mechanics and noncontextual hidden-variable theories in a (gedanken) single run experiment.

arXiv:quant-ph/9911022•International Journal of Modern Physics A•Jul 20, 2000•17 citations

A hidden-variables versus quantum mechanics experiment

Adán Cabello, Guillermo García Alcaine

In the light of the Bell-Kochen-Specker theorem, we examine a feasible experimental test in order to discriminate between non-contextual hidden-variables and some probabilistic predictions of quantum mechanics.

Journal of Physics A Mathematical and General•Jul 7, 1995•12 citations

An experimental test of the non-classicality of quantum mechanics using an unmovable and indivisible system

Xi Kong, Mingjun Shi, Fazhan Shi +7 more

Quantum mechanics provides a statistical description about nature, and thus would be incomplete if its statistical predictions could not be accounted for by some realistic models with hidden variables. There are, however, two powerful theorems against the hidden-variable theories showing that certain quantum features cannot be reproduced based on two rationale premises of locality, Bell's theorem, and noncontextuality, due to Bell, Kochen and Specker (BKS). Noncontextuality is independent of nonlocality, and the contextuality manifests itself even in a single object. Here we report an experimental verification of quantum contextuality by a single spin-1 electron system at room temperature. Such a three-level system is indivisible and then we close the compatibility loophole which exists in the experiments performed on bipartite systems. Our results confirm the quantum contextuality to be the intrinsic property of single particles.

arXiv:1210.0961•Oct 3, 2012•3 citations

A simple proof of the Kochen-Specker theorem on the problem of hidden variables

Norbert Straumann

In this talk I present a simple derivation of an old result of Kochen and Specker, which is apparently unrelated to the famous work of Bell on hidden variables, but is presumably equally important. Kochen and Specker showed in 1967 that quantum mechanics cannot be embedded into a classical stochastic theory, provided the quantum theoretical probability distributions are reproduced and one additional highly desirable property is satisfied. This showed in a striking manner what were the difficulties in implementing the Einstein programme of a `complete' version of quantum mechanics.

arXiv:0801.4931•Annalen der Physik•Dec 14, 2009•4 citations
Quantum entaglement is one of hot subjects of fundamental physics in recent years. Bell-Kochen-Specker theory, which shows the inconsistency between the theory of hidden variables and quantum mechanics, implies the global correlation of quantum systems. We in present paper analyse the entaglement state of a pair of polarized photons created by annihilation of the electron-positron pair and explain explicitly the inconsistency between background independent theory of hidden variables and quantum mechanics.
A recent proposal to experimentally test quantum mechanics against noncontextual hidden-variable theories [Phys. Rev. Lett.80, 1797 (1998)] is shown to be related with the smallest proof of the Kochen–Specker theorem currently known [Phys. Lett.A212, 183 (1996)]. This proof contains eighteen yes-no questions about a four-dimensional physical system, combined in nine mutually incompatible tests. When these tests are considered as tests about a two-part two-state system, then quantum mechanics and noncontextual hidden variables make the same predictions for eight of them, but make different predictions for the ninth. Therefore, this ninth test would allow us to discriminate between quantum mechanics and noncontextual hidden-variable theories in a (gedanken) single run experiment.
Quantum mechanics provides a statistical description about nature, and thus would be incomplete if its statistical predictions could not be accounted for by some realistic models with hidden variables. There are, however, two powerful theorems against the hidden-variable theories showing that certain quantum features cannot be reproduced based on two rationale premises of locality, Bell's theorem, and noncontextuality, due to Bell, Kochen and Specker (BKS). Noncontextuality is independent of nonlocality, and the contextuality manifests itself even in a single object. Here we report an experimental verification of quantum contextuality by a single spin-1 electron system at room temperature. Such a three-level system is indivisible and then we close the compatibility loophole which exists in the experiments performed on bipartite systems. Our results confirm the quantum contextuality to be the intrinsic property of single particles.
In this talk I present a simple derivation of an old result of Kochen and Specker, which is apparently unrelated to the famous work of Bell on hidden variables, but is presumably equally important. Kochen and Specker showed in 1967 that quantum mechanics cannot be embedded into a classical stochastic theory, provided the quantum theoretical probability distributions are reproduced and one additional highly desirable property is satisfied. This showed in a striking manner what were the difficulties in implementing the Einstein programme of a `complete' version of quantum mechanics.