Manipulation of Quantum Nonlocality of the Single-Photon Entangled State via Beam Splitter
ZHOU Qing-Ping1,2,3, FANG Mao-Fa1,2, LIU Xiao-Juan2
1Department of Physics, Hunan Normal University, Changsha 410081
2Anhui Institute Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031
3Department of Information and Automatization, Jishou University, Zhangjiajie 427000
Manipulation of Quantum Nonlocality of the Single-Photon Entangled State via Beam Splitter
ZHOU Qing-Ping1,2,3;FANG Mao-Fa1,2;LIU Xiao-Juan2
1Department of Physics, Hunan Normal University, Changsha 410081
2Anhui Institute Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031
3Department of Information and Automatization, Jishou University, Zhangjiajie 427000
Abstract： Quantum nonlocality of the single-photon entangled state emerging from a beam splitter with arbitrary controlling parameters is investigated by means of the parity measurement. The condition of the maximal violation of the Bell-CHSH inequality is obtained for the single-photon entangled state. Under the condition of the small coherent intensity J (J=0.1) and the phase difference γαβ of the two coherent displacements being opposite to the internal phase shift Ф of the beam splitter (γαβ =-Ф), we find that the quantum nonlocality depends only on the reflection coefficient $R$ of the beam splitter, while Ф plays an important role for selecting γαβ . The strongest quantum nonlocality can be observed for a 50:50 beam splitter. If R deviates from the intermediate value 0.5, the quantum nonlocality decreases gradually, even vanishes. Our results provide a method to observe and manipulate the quantum nonlocality of the single-photon entangled state by adjusting the parameters of the coherent displacements and the beam splitter.
ZHOU Qing-Ping;;FANG Mao-Fa;LIU Xiao-Juan. Manipulation of Quantum Nonlocality of the Single-Photon Entangled State via Beam Splitter[J]. 中国物理快报, 2005, 22(1): 12-14.
ZHOU Qing-Ping, , FANG Mao-Fa, LIU Xiao-Juan. Manipulation of Quantum Nonlocality of the Single-Photon Entangled State via Beam Splitter. Chin. Phys. Lett., 2005, 22(1): 12-14.
2005, Vol. 22 
