• DOI:10.21468/SciPostPhys.12.4.137
• Corpus ID: 246430966

Balanced partial entanglement and mixed state correlations

@article{Camargo2022BalancedPE,
  title={Balanced partial entanglement and mixed state correlations},
  author={Hugo A. Camargo and Pratik Nandy and Qiang Wen and Haocheng Zhong},
  journal={SciPost Physics},
  year={2022}
}

• H. Camargo, Pratik Nandy, +1 author Haocheng Zhong
• Published 31 January 2022
• Physics
• SciPost Physics

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_33
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.