,Quantum entanglement and quantum nonlocality for N-photon entangled states

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Quantum entanglement and quantum nonlocality of N-photon entangled states |ψNm>=Cm[COSγ|N-m>1|m>2+eiθm sin γ|m>1|N-m>2]and their superpositions are studied.We point out that the relative phase θm affects the quantum nonlocality but not the quantum entanglement for the state |ψNm>.We show that quantum nonlocality can be controlled and manipulated by adjusting the state parameters of |ψNm>,superposition coefficients,and the azimuthal angles of the Bell operator.We also show that the violation of the Bell inequality can reach its maximal value under certain conditions.It is found that quantum superpositions based on |ψNm>can increase the amount of entanglement,and give more ways to reach the maximal violation of the Bell inequality.
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