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In this article, we investigate the entanglement structure of bipartite mixedstates in (1+1)-dimensional boundary conformal field theories (BCFT$_2$s)through the odd entanglement entropy (OEE) by employing an appropriate replicatechnique. In this regard we compare our results with the bulk entanglementwedge cross section (EWCS) for AdS$_3$ geometries with an end-of-the-worldbrane. We observe consistent extension of the holographic duality between thedifference of the OEE and the entanglement entropy (EE) with the bulk EWCS, inthe framework of AdS$_3$/BCFT$_2$ holography. Furthermore, we also extend ourcomputations to the holographic moving mirror models where the Hawkingradiation from eternal and evaporating black holes may be simulated dependingon certain mirror profiles, and find consistent extension of the aforementionedholographic duality.

Odd entanglement entropy in boundary conformal field theories and holographic moving mirrors