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Minimum detection efficiency for the loophole-free confirmation of quantum contextuality |
| Xiang Yang (向阳)a, Hong Fang-Yu (洪方昱)b |
a School of Physics and Electronics, Henan University, Kaifeng 475001, China;
b Department of Physics, Center for Optoelectronics Materials and Devices, Zhejiang Sci-Tech University, Hangzhou 310018, China |
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Abstract Klyachko–Can–Binicio?lu–Shumovsky (KCBS) inequality is a Bell-like inequality, the violation of which can be used to confirm the existence of quantum contextuality. However, the imperfection of detection efficiency may cause the so-called loophole in actual KCBS’s experiments. We derive an alternative KCBS inequality to deal with the loophole in actual KCBS’s experiments. We prove that if the experimental data violate this KCBS inequality, the loophole-free violation of the original KCBS inequality will occur. We show that the minimum detection efficiency needed for a loophole-free violation of the KCBS inequality is about 0.9738.
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Received: 13 June 2013
Revised: 15 August 2013
Accepted manuscript online:
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PACS:
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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03.67.-a
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(Quantum information)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11005031) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6110314). |
Corresponding Authors:
Xiang Yang
E-mail: njuxy@sina.com
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Cite this article:
Xiang Yang (向阳), Hong Fang-Yu (洪方昱) Minimum detection efficiency for the loophole-free confirmation of quantum contextuality 2013 Chin. Phys. B 22 110302
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