The Markov gap for geometric reflected entropy

@article{Hayden2021TheMG,
  title={The Markov gap for geometric reflected entropy},
  author={Patrick M. Hayden and Onkar Parrikar and Jonathan Sorce},
  journal={Journal of High Energy Physics},
  year={2021}
}
Abstract The reflected entropy SR(A : B) of a density matrix ρAB is a bipartite correlation measure lower-bounded by the quantum mutual information I(A : B). In holographic states satisfying the quantum extremal surface formula, where the reflected entropy is related to the area of the entanglement wedge cross-section, there is often an order-N2 gap between SR and I. We provide an information-theoretic interpretation of this gap by observing that SR− I is related to the fidelity of a… Expand
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