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

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.

preprint2021arXivOpen access
Daisuke MikiAkira MatsumuraKazuhiro Yamamoto
gr-qcquant-ph
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Daisuke MikiAkira MatsumuraKazuhiro Yamamoto

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