Theoretical modeling demonstrates reflected entropy matching entanglement wedge cross sections in boundary conformal field theories, verifying holographic duality on a black hole background.
We obtain the reflected entropy for bipartite mixed state configurations involving two disjoint and adjacent subsystems in two dimensional boundary conformal field theories (BCFT₂s) in a black hole background. The bulk dual is described by an AdS₃ black string geometry truncated by a Karch-Randall brane. The entanglement wedge cross section computed for this geometry matches with the reflected entropy obtained for the BCFT₂ verifying the holographic duality. In this context, we also obtain the analogues of the Page curves for the reflected entropy and investigate the behaviour of the Markov gap.
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Basu et al. (2023) studied this question.
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