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Non-Gaussian entanglement in gravitating masses: the role of cumulants

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arxiv 2108.00662 v1 pith:UAN5SBEP submitted 2021-08-02 quant-ph gr-qc

Daisuke Miki , Akira Matsumura , Kazuhiro Yamamoto This is my paper · ORCID
classification quant-phgr-qc
keywords entanglementcriterioncumulantsmirrorsnon-gaussianfourth-ordergravitatingthird-
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We develop an entanglement criterion with third- and fourth-order cumulants to detect the entanglement of non-Gaussian states. The efficiency of the entanglement criterion is investigated for gravitating mirrors in optomechanical systems. We show that the entangled regime of the mirrors is enlarged by the third- and fourth-order cumulants. We also discuss the limitations of the entanglement criterion for mirrors in a highly non-Gaussian state.

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