Manipulation of Quantum Nonlocality of the Single-Photon Entangled State via Beam Splitter
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摘要:
Quantum nonlocality of the single-photon entangled state emerging from a beam splitter with arbitrary controllingparameters is investigated by means of the parity measurement. The condition of the maximal violation ofthe 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 φ of the beam splitter (γαβ = -φ), we find that the quantum nonlocality depends only on the reflection coefficient R of the beam splitter, while φ plays an important role for selecting γαβ. Thestrongest 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.