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

2021/08/02 by Daisuke Miki, Akira Matsumura, Kazuhiro Yamamoto
Computer Science · Mathematics · Physics and Astronomy · #Cumulant #Gaussian #Mathematics #Mechanical and Optical Resonators #Order (exchange) #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Squashed entanglement #Statistical physics #Statistics #gr-qc #quant-ph

paper · pdf · doi:10.1103/physrevd.105.026011

14 pages, 7 figures

arxiv created 2021/08/02 · openalex publication_date 2022/01/11 · arxiv updated 2022/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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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