Entanglement Wedge Cross Section Inequalities from Replicated Geometries

TL;DR

This paper develops a general method to construct spacetimes representing multipartite entanglement wedge cross sections, enabling the derivation of new inequalities that constrain multipartite entanglement in holographic theories.

Contribution

It introduces a universal algorithm for constructing replicated geometries for arbitrary party numbers, advancing the understanding of multipartite entanglement wedge cross sections.

Findings

Derived novel inequalities for multipartite entanglement wedge cross sections.

Established a general construction method for replicated geometries.

Enhanced the theoretical framework for holographic entanglement studies.

Abstract

We generalize the constructions for the multipartite reflected entropy in order to construct spacetimes capable of representing multipartite entanglement wedge cross sections of differing party number as Ryu-Takayanagi surfaces on a single replicated geometry. We devise a general algorithm for such constructions for arbitrary party number and demonstrate how such methods can be used to derive novel inequalities constraining mulipartite entanglement wedge cross sections.