Squashed Entanglement from Generalized Rindler Wedge

Fuente: arXiv
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Autores principales: Ju, Xin-Xiang, Liu, Bo-Hao, Pan, Wen-Bin, Sun, Ya-Wen, Wang, Yuan-Tai
Formato: Preprint
Publicado: 2023
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author Ju, Xin-Xiang
Liu, Bo-Hao
Pan, Wen-Bin
Sun, Ya-Wen
Wang, Yuan-Tai
author_facet Ju, Xin-Xiang
Liu, Bo-Hao
Pan, Wen-Bin
Sun, Ya-Wen
Wang, Yuan-Tai
contents We investigate the bipartite and multipartite quantum entanglement structure in gravity and the dual holographic field theory based on the generalized Rindler wedge formalism. We deduce a separation theorem, which asserts that for subregions satisfying a certain geometric condition, the bipartite/multipartite squashed entanglement or the conditional entanglement of multipartite information vanishes, indicating that these subregions represent separable states with no quantum entanglement among them. We interpret this fact from the observer perspective in gravity and show how to probe the entanglement structure further in this framework by introducing a time cutoff in the gravitational spacetime. We also present the corresponding dual boundary field theory interpretation.
format Preprint
id arxiv_https___arxiv_org_abs_2310_09799
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Squashed Entanglement from Generalized Rindler Wedge
Ju, Xin-Xiang
Liu, Bo-Hao
Pan, Wen-Bin
Sun, Ya-Wen
Wang, Yuan-Tai
High Energy Physics - Theory
We investigate the bipartite and multipartite quantum entanglement structure in gravity and the dual holographic field theory based on the generalized Rindler wedge formalism. We deduce a separation theorem, which asserts that for subregions satisfying a certain geometric condition, the bipartite/multipartite squashed entanglement or the conditional entanglement of multipartite information vanishes, indicating that these subregions represent separable states with no quantum entanglement among them. We interpret this fact from the observer perspective in gravity and show how to probe the entanglement structure further in this framework by introducing a time cutoff in the gravitational spacetime. We also present the corresponding dual boundary field theory interpretation.
title Squashed Entanglement from Generalized Rindler Wedge
topic High Energy Physics - Theory
url https://arxiv.org/abs/2310.09799