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Balanced partial entanglement and mixed state correlations

Camargo, HA and Nandy, P and Wen, Q and Zhong, H (2022) Balanced partial entanglement and mixed state correlations. In: SciPost Physics, 12 (4).

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Official URL: https://doi.org/10.21468/SCIPOSTPHYS.12.4.137


Recently in Ref. 1, one of the authors introduced the balanced partial entanglement (BPE), which has been proposed to be dual to the entanglement wedge cross-section (EWCS). In this paper, we explicitly demonstrate that the BPE could be considered as a proper measure of the total intrinsic correlation between two subsystems in a mixed state. The total correlation includes certain crossing correlations, which are minimized by particular balance conditions. By constructing a class of purifications from Euclidean path-integrals, we find that the balanced crossing correlations show universality and can be considered as the generalization of the Markov gap for the canonical purification. We also test the relation between the BPE and the EWCS in three-dimensional asymptotically flat holography. We find that the balanced crossing correlation vanishes for the field theory invariant under BMS3 symmetry (BMSFT) and dual to the Einstein gravity, indicating the possibility of a perfect Markov recovery. We further elucidate these crossing correlations as a signature of tripartite entanglement and explain their interpretation in both AdS and non-AdS holography.

Item Type: Journal Article
Publication: SciPost Physics
Publisher: SciPost Foundation
Additional Information: The copyright for this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 17 Sep 2022 03:02
Last Modified: 17 Sep 2022 03:02
URI: https://eprints.iisc.ac.in/id/eprint/76554

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