Balanced partial entanglement and mixed state correlations
Hugo A. Camargo, Pratik Nandy, Qiang Wen, Haocheng Zhong
SciPost Phys. 12, 137 (2022) · published 21 April 2022
- doi: 10.21468/SciPostPhys.12.4.137
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Abstract
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 BMS$_3$ 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.
Cited by 13
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Hugo A. Camargo,
- 3 Pratik Nandy,
- 4 Qiang Wen,
- 4 Haocheng Zhong
- 1 Freie Universität Berlin / Freie Universität Berlin [FU Berlin]
- 2 Max-Planck-Institut für Gravitationsphysik / Max Planck Institute for Gravitational Physics [AEI]
- 3 भारतीय विज्ञान संस्थान / Indian Institute of Science Bangalore [IISc]
- 4 东南大学 / Southeast University [SEU]