The nonlocality research of quantum entanglement plays an important role in the development of quantum mechanics theory and quantum information technology. As multipartite entangled state is a rare quantum resource, its nonlocality research has always been an important subject in the study of quantum theory. In this paper, we focus on N entangled states composed of N copies of an entangled state. First, a new Bell test with respect to N entangled states is presented, and lifting Bell inequalities are applied to certify nonlocality. Second, we obtain the nonlocality certification standard of N entangled states by parity binning lifting Bell inequality. Third, we prove the conjecture that N + 2 entangled states must be local if N entangled states are local certified by parity binning lifting Bell inequality. The research will promote the theoretical research progress of quantum coherence, and provide theoretical basis and technical support for the multipartite entangled states application in quantum cryptographic protocols.

中文翻译：

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N 个纠缠态的量子局域性

量子纠缠的非定域性研究对量子力学理论和量子信息技术的发展具有重要作用。由于多分纠缠态是一种稀有的量子资源，其非定域性研究一直是量子理论研究的重要课题。在本文中，我们关注由 N 个纠缠态副本组成的 N 个纠缠态。首先，提出了关于 N 个纠缠态的新贝尔测试，并应用提升贝尔不等式来证明非局域性。其次，我们通过奇偶分箱提升贝尔不等式得到N个纠缠态的非局域性证明标准。第三，我们证明了 N + 2 个纠缠态一定是局部的猜想，如果 N 个纠缠态是通过奇偶分箱提升 Bell 不等式进行局部证明的。