Violating the bilocal inequality with separable mixed states in the entanglement-swapping network

• URL: http://arxiv.org/abs/2201.09481v2
• Date: Wed, 26 Jan 2022 03:36:41 GMT
• Title: Violating the bilocal inequality with separable mixed states in the entanglement-swapping network
• Authors: Shuyuan Yang, Kan He
• Abstract summary: We show that two entangle pure states can violate the bilocal inequality in the entanglement-swapping network, vice versa. In the work, we devote to finding the mixed Werner states which violate the bilocal inequality by Particle Swarm Optimization (PSO) algorithms.
• Score: 14.767303057460307
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: It has been showed that two entangle pure states can violate the bilocal inequality in the entanglement-swapping network, vice versa. What happens for mixed states? Whether or not are there separable mixed states violating the bilocal inequality? In the work, we devote to finding the mixed Werner states which violate the bilocal inequality by Particle Swarm Optimization (PSO) algorithms. Finally, we shows that there are pairs of states, where one is separable and the other is entangled, can violate the bilocal inequality.

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