Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states

• URL: http://arxiv.org/abs/2007.01731v1
• Date: Fri, 3 Jul 2020 14:53:58 GMT
• Title: Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states
• Authors: Shan Ma and Shibei Xue and Yu Guo and Chuan-Cun Shu
• Abstract summary: We show that the separability problem can be cast as an equivalent problem of determining the feasibility of a set of linear matrix inequalities. We show that the proposed method can be used to identify bound entangled Gaussian states that could be simple enough to be producible in quantum optics.
• Score: 2.4298571485464913
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a numerical method for solving the separability problem of Gaussian quantum states in continuous-variable quantum systems. We show that the separability problem can be cast as an equivalent problem of determining the feasibility of a set of linear matrix inequalities. Thus, it can be efficiently solved using existent numerical solvers. We apply this method to the identification of bound entangled Gaussian states. We show that the proposed method can be used to identify bound entangled Gaussian states that could be simple enough to be producible in quantum optics.

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