Nonlinear Bell inequality based on entanglement sources

doi:10.3969/j.issn.1007-5461.2022.05.009

Abstract

Abstract: Compared with linear Bell inequality, nonlinear Bell inequality provides a new method of verifying quantum correlations as a new type of criterion. It is practically important to study the properties of entanglement states by using nonlinear Bell inequality. Considering that the entanglement state with noise can simulate the actual quantum communication process, the optimal measurement operator of the corresponding state is found through numerical optimization based on Matlab, and the inﬂuence of noise parameters on the violation of nonlinear Bell inequality is studied. The results show that the entanglement state with noise can also violate the nonlinear Bell inequality in speciﬁc circumstances, and the more the number of measurements are, the more stringent the requirement of entanglement state will be. The results are important for the selection and preparation of states in actual experiments.

Key words: quantum optics, non-locality, Bell-like inequality, non-linearity, maximum quantum violation

CLC Number:

O431.2

DAI Pan, PANG Zhiguang, LI Jian, WANG Qin ∗. Nonlinear Bell inequality based on entanglement sources[J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 761-767.

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