Entanglement of purification and multiboundary wormhole geometries

A bstract We posit a geometrical description of the entanglement of purification for sub-regions in a holographic CFT. The bulk description naturally generalizes the two-party case and leads to interesting inequalities among multi-party entanglements of purification that can be geometrically proven...

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Bibliographic Details
Published in:The journal of high energy physics 2019-02, Vol.2019 (2), p.1-22, Article 110
Main Authors: Bao, Ning, Chatwin-Davies, Aidan, Remmen, Grant N.
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Classical and Quantum Gravitation
Classical Theories of Gravity
Elementary Particles
Entanglement
Geometry
High energy physics
Hilbert space
Inequalities
Physics
Physics and Astronomy
Purification
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Theoretical physics
Wormholes
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Summary:A bstract We posit a geometrical description of the entanglement of purification for sub-regions in a holographic CFT. The bulk description naturally generalizes the two-party case and leads to interesting inequalities among multi-party entanglements of purification that can be geometrically proven from the conjecture. Further, we study the relationship between holographic entanglements of purification in locally-AdS 3 spacetimes and entanglement entropies in multi-throated wormhole geometries constructed via quotienting by isometries. In particular, we derive new holographic inequalities for geometries that are locally AdS 3 relating entanglements of purification for subregions and entanglement entropies in the wormhole geometries.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2019)110