Related papers: Gravitational back-reaction is magical

Gravitational back-reaction is magical

URL: http://arxiv.org/abs/2403.07056v2
Date: Thu, 16 May 2024 16:05:39 GMT
Title: Gravitational back-reaction is magical
Authors: ChunJun Cao, Gong Cheng, Alioscia Hamma, Lorenzo Leone, William Munizzi, Savatore F. E. Oliviero,
Abstract summary: We show that non-local magic is lower bounded by the non-flatness of entanglement spectrum and upper bounded by the amount of entanglement in the system. In conformal field theories, we conjecture that the non-local magic should scale linearly with entanglement entropy but sublinearly when an approximation of the state is allowed.
Score: 5.61965899768974
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We study the interplay between magic and entanglement in quantum many-body systems. We show that non-local magic, which is supported by the quantum correlations is lower bounded by the non-flatness of entanglement spectrum and upper bounded by the amount of entanglement in the system. We then argue that a smoothed version of non-local magic bounds the hardness of classical simulations for incompressible states. In conformal field theories, we conjecture that the non-local magic should scale linearly with entanglement entropy but sublinearly when an approximation of the state is allowed. We support the conjectures using both analytical arguments based on unitary distillation and numerical data from an Ising CFT. If the CFT has a holographic dual, then we prove that the non-local magic vanishes if and only if there is no gravitational back-reaction. Furthermore, we show that non-local magic is approximately equal to the rate of change of the minimal surface area in response to the change of cosmic brane tension in the bulk.

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