A family of separability criteria and lower bounds of concurrence

• URL: http://arxiv.org/abs/2211.04868v1
• Date: Wed, 9 Nov 2022 13:19:13 GMT
• Title: A family of separability criteria and lower bounds of concurrence
• Authors: Xian Shi, Yashuai Sun
• Abstract summary: We consider a family of separable criteria for bipartite states, and present when the density matrix corresponds to a state is real, the criteria is equivalent to the enhanced realignment criterion. We also present analytical lower bounds of concurrence and the convex-roof extended negativity for arbitrary dimensional systems.
• Score: 0.76146285961466
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: The problem on detecting the entanglement of a bipartite state is significant in quantum information theory. In this article, we apply the Ky Fan norm to the revised realignment matrix of a bipartite state. Specifially, we consider a family of separable criteria for bipartite states, and present when the density matrix corresponds to a state is real, the criteria is equivalent to the enhanced realignment criterion. Moreover, we present analytical lower bounds of concurrence and the convex-roof extended negativity for arbitrary dimensional systems.

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