Entanglement Wedge Cross Section Inequalities from Replicated Geometries
arXiv:2106.02640 · doi:10.1007/JHEP07(2021)113
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.
arXiv comment23 pages, 9 figures
References in corpus (22)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- A Covariant Holographic Entanglement Entropy Proposal
- Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
- Causality & holographic entanglement entropy
- Holographic Entanglement of Purification
- Holographic Mutual Information is Monogamous
- The Holographic Entropy Cone
- Entanglement of purification: from spin chains to holography
- Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
- Entanglement Wedge Cross Section from the Dual Density Matrix
- Entanglement Wedge Cross Sections Require Tripartite Entanglement
- Entanglement of Purification for Multipartite States and its Holographic Dual
- Coarse Graining Holographic Black Holes
- Conditional and Multipartite Entanglements of Purification and Holography
- The Holographic Entropy Cone for Five Regions
- Bit threads and holographic entanglement of purification
- Holographic Inequalities and Entanglement of Purification
- Generalizations of Reflected Entropy and the Holographic Dual
- Multipartite Reflected Entropy
- Entanglement of Purification and Multiboundary Wormhole Geometries
- On the foundations and extremal structure of the holographic entropy cone
- Multipartite entanglement and topology in holography
Cited by in corpus (7)
- Reflected entropy is not a correlation measure
- Connections between reflected entropies and hyperbolic string vertices
- Bounding entanglement wedge cross sections
- The Markov gap for geometric reflected entropy
- Positivity in Amplitudes and Quantum Entanglement
- One-half reflected entropy is not a lower bound for entanglement of purification
- Black Hole Complementarity and ER/EPR