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Kochen-Specker Sets with a Mixture of 16 Rank-1 and 14 Rank-2 Projectors for a Three-Qubit System |
| S. P. Toh** |
Faculty of Engineering, The University of Nottingham Malaysia Campus, Jalan Broga, 43500 Semenyih, Selangor Darul Ehsan, Malaysia
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| Cite this article: |
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S. P. Toh 2013 Chin. Phys. Lett. 30 100302 |
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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 was proposed in 1995 [Kernaghan M and Peres A Phys. Lett. A 198 (1995) 1] for a three-qubit system, there have been 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.
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Received: 17 June 2013
Published: 21 November 2013
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| PACS: |
03.65.Aa
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(Quantum systems with finite Hilbert space)
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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42.50.Dv
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(Quantum state engineering and measurements)
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