Entanglement wedge cross section inequalities from replicated geometries
Ning Bao (Brookhaven National Laboratory, Computational Science Initiative, Upton, New York, 11973, USA); Aidan Chatwin-Davies (KU Leuven, Institute for Theoretical Physics, Celestijnenlaan 200D, Leuven, B-3001, Belgium, Department of Physics and Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, BC, V6T 1Z1, Canada); Grant Remmen (Department of Physics, University of California, Santa Barbara, CA, 93106, USA, Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA, 93106, USA)
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.