AbstractQuantum entanglement and quantum nonlocality of N-photon entangled states $|\psi_{Nm}\rangle=C_m[\cos\gamma|N-m\rangle_1|m\rangle_2+{\rm e}^{{\rm i}\theta_m}\sin\gamma|m\rangle_1|N-m\rangle_2]$ and their superpositions are studied. We point out that the relative phase $\theta_m$ affects the quantum nonlocality but not the quantum entanglement for the state $|\psi_{Nm}\rangle$. We show that quantum nonlocality can be controlled and manipulated by adjusting the state parameters of $|\psi_{Nm}\rangle$, 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 $|\psi_{Nm}\rangle$ can increase the amount of entanglement, and give more ways to reach the maximal violation of the Bell inequality.
Received: 15 August 2005
Revised: 09 September 2005
Accepted manuscript online:
Fund: Project supported by the National Fundamental Research Program (Grant No 2001CB309310), the National Natural Science Foundation of China (Grant Nos 10325523, 90203018 and 10075018), the Foundation of the Ministry of Education of China,and the Educational Committee of Hunan Province (Grant Nos 200248 and 02A026).
Cite this article:
Sun Yan-Hua (孙艳华), Kuang Le-Man (匡乐满) Quantum entanglement and quantum nonlocality for N-photon entangled states 2006 Chinese Physics 15 681
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