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State-Independent Proof of Kochen–Specker Theorem with Thirty Rank-Two Projectors |
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: |
S. P. Toh 2013 Chin. Phys. Lett. 30 100303 |
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Abstract The Kochen–Specker theorem states that noncontextual hidden variable theories are incompatible with quantum mechanics. We provide a state-independent proof of the Kochen–Specker theorem using the smallest number of projectors, i.e., thirty rank-2 projectors, associated with the Mermin pentagram for a three-qubit system.
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Received: 18 July 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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[1] Meyer D A 1999 Phys. Rev. Lett. 83 3751 [2] Kent A 1999 Phys. Rev. Lett. 83 3755 [3] Cabello A 2008 Phys. Rev. Lett. 101 210401 [4] Badzikag P, Bengtsson I, Cabello A and Pitowsky I 2009 Phys. Rev. Lett. 103 050401 [5] Kirchmair G, Z?hringer F, Gerritsma R, Kleinmann M, Gühne O, Cabello A, Blatt R and Roos C F 2009 Nature 460 494 [6] Bartosik H, Klepp J, Schmitzer C, Sponar S, Cabello A, Rauch H and Hasegawa Y 2009 Phys. Rev. Lett. 103 040403 [7] Amselem E, Radmark M, Bourennane M and Cabello A 2009 Phys. Rev. Lett. 103 160405 [8] Borges G, Carvalho M, de Assis P L, Ferraz J, Araújo M, Cabello A, Terra Cunha M and Pádua S 2013 arXiv:1304.4512v1 [quant-ph] [9] Moussa O 2010 Phys. Rev. Lett. 104 160501 [10] Song X B, Wang H B, Xiong J and Zhang X D 2012 Chin. Phys. Lett. 29 114214 [11] Kochen K and Specker E P 1967 J. Math. Mech. 17 59 [12] Peres A 1991 J. Phys. A: Math. Gen. 24 L175 [13] Mermin D 1993 Rev. Mod. Phys. 65 803 [14] Conway J H and Kochen S 1993 Quantum Theory: Concepts and Method (Dordrecht: Kluwer) p 114 [15] Cabello A, Estebaranz J M and García-Alcaine G 1996 Phys. Lett. A 212 183 [16] Kernaghan M and Peres A 1995 Phys. Lett. A 198 1 [17] Waegell M and Aravind P K 2012 J. Phys. A: Math. Theor. 45 405301 |
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Abstract
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