Minimum detection efficiency for the loophole-free confirmation of quantum contextuality

doi:10.1088/1674-1056/22/11/110302

中国物理B ›› 2013, Vol. 22 ›› Issue (11): 110302-110302.doi: 10.1088/1674-1056/22/11/110302

Minimum detection efficiency for the loophole-free confirmation of quantum contextuality

向阳^a, 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

收稿日期:2013-06-13 修回日期:2013-08-15 出版日期:2013-09-28 发布日期:2013-09-28
基金资助:
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).

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

Received:2013-06-13 Revised:2013-08-15 Online:2013-09-28 Published:2013-09-28
Contact: Xiang Yang E-mail:njuxy@sina.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: Klyachko–Can–Binicio?lu–Shumovsky (KCBS) inequality, quantum contextuality

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.

Key words: Klyachko–Can–Binicio?lu–Shumovsky (KCBS) inequality, quantum contextuality

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 03.67.-a (Quantum information)

向阳, 洪方昱. Minimum detection efficiency for the loophole-free confirmation of quantum contextuality[J]. 中国物理B, 2013, 22(11): 110302-110302.

Xiang Yang (向阳), Hong Fang-Yu (洪方昱). Minimum detection efficiency for the loophole-free confirmation of quantum contextuality[J]. Chin. Phys. B, 2013, 22(11): 110302-110302.

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Minimum detection efficiency for the loophole-free confirmation of quantum contextuality

Minimum detection efficiency for the loophole-free confirmation of quantum contextuality

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