<p>We investigate the bipartite and multipartite quantum entanglement structure of gravitational subsystems and in 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 sub-regions 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.</p>

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Squashed entanglement from generalized Rindler wedge

  • Xin-Xiang Ju,
  • Bo-Hao Liu,
  • Wen-Bin Pan,
  • Ya-Wen Sun,
  • Yuan-Tai Wang

摘要

We investigate the bipartite and multipartite quantum entanglement structure of gravitational subsystems and in 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 sub-regions 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.