Entanglement Wedge Cross Section from the Dual Density Matrix

Kotaro Tamaoka

Entanglement Wedge Cross Section from the Dual Density Matrix

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arxiv 1809.09109 v2 pith:UABKQDT6 submitted 2018-09-24 hep-th cond-mat.str-elquant-ph

Kotaro Tamaoka This is my paper · ORCID

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abstract

We define a new information theoretic quantity called odd entanglement entropy (OEE) which enables us to compute the entanglement wedge cross section in holographic CFTs. The entanglement wedge cross section has been introduced as a minimal cross section of the entanglement wedge, a natural generalization of the Ryu-Takayanagi surface. By using the replica trick, we explicitly compute the OEE for two-dimensional holographic CFT (AdS${}_3$ and planar BTZ blackhole) and see agreement with the entanglement wedge cross section. We conjecture this relation will hold in general dimensions.

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Entanglement measures for causally connected subregions and holography
hep-th 2025-08 conditional novelty 6.0 of 10

Timelike separated subregions admit a transition-operator entropy, a complexified RT surface, and a timelike entanglement wedge cross section that equals half the analytically continued reflected entropy in AdS3/CFT2.

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