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Entanglement Theory Quantum Correlations

Kochen-Specker Sets with a Mixture of 16 Rank-1 and 14 Rank-2 Projectors for a Three-Qubit System

arXiv
Authors: S. P. Toh

Year

2013

Paper ID

32447

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

Abstract

Kochen-Specker (KS) theorem denies the possibility for the noncontextual hidden variable theories to reproduce the predictions of quantum mechanics. A set of projection operators (projectors) and bases used to show the impossibility of noncontextual definite values assignment is named as the KS set. Since one KS set with a mixture of 16 rank-1 projectors and 14 rank-2 projectors proposed in 1995 \[Kernaghan M and Peres A 1995 Phys. Lett.\ A 198 1\] for a three-qubit system, there are plenty of the same type KS sets and we propose a systematic way to produce them. We also propose a probabilistic state-dependent proof of the KS theorem that mainly focuses on the values assignment for all the rank-2 projectors.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2013 reference point for readers tracking recent quantum research.
  • Kochen-Specker (KS) theorem denies the possibility for the noncontextual hidden variable theories to reproduce the predictions of quantum mechanics.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1310.0179 [2] arXiv https://arxiv.org/abs/1310.0179 [3] Publisher https://arxiv.org/abs/1310.0179

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