Multipartite reflected entropy

Bao, Ning; Cheng, Newton

doi:10.1007/JHEP10(2019)102

Title: Multipartite reflected entropy

Abstract

We discuss two methods that, through a combination of cyclically gluing copies of a given n-party boundary state in AdS/CFT and a canonical purification, creates a bulk geometry that contains a boundary homologous minimal surface with area equal to 2 or 4 times the n-party entanglement wedge cross-section, depending on the parity of the party number and choice of method. The areas of the minimal surfaces are each dual to entanglement entropies that we define to be candidates for the n-party reflected entropy. In the context of AdS₃/CFT₂, we provide a boundary interpretation of our construction as a multiboundary wormhole, and conjecture that this interpretation generalizes to higher dimensions.

Authors:

Bao, Ning ^[1]; Cheng, Newton ^[2]

Univ. of California, Berkeley, CA (United States). Center for Theoretical Physics and Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). Computational Science Initiative
Univ. of California, Berkeley, CA (United States). Center for Theoretical Physics and Dept. of Physics

Publication Date:: Tue Oct 08 00:00:00 EDT 2019

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (SC-21)

OSTI Identifier:: 1574424

Report Number(s):: BNL-212340-2019-JAAM
Journal ID: ISSN 1029-8479; TRN: US2001275

Grant/Contract Number:: SC0012704

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; AdS-CFT Correspondence; Black Holes

Citation Formats


                    Bao, Ning, and Cheng, Newton. Multipartite reflected entropy.  United States: N. p., 2019. 
Web.  doi:10.1007/JHEP10(2019)102.

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                    Bao, Ning, & Cheng, Newton. Multipartite reflected entropy.  United States.  https://doi.org/10.1007/JHEP10(2019)102

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                    Bao, Ning, and Cheng, Newton. Tue .  
"Multipartite reflected entropy".  United States.  https://doi.org/10.1007/JHEP10(2019)102.  https://www.osti.gov/servlets/purl/1574424.

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@article{osti_1574424,

  title        = {Multipartite reflected entropy},

  author       = {Bao, Ning and Cheng, Newton},

  abstractNote = {We discuss two methods that, through a combination of cyclically gluing copies of a given n-party boundary state in AdS/CFT and a canonical purification, creates a bulk geometry that contains a boundary homologous minimal surface with area equal to 2 or 4 times the n-party entanglement wedge cross-section, depending on the parity of the party number and choice of method. The areas of the minimal surfaces are each dual to entanglement entropies that we define to be candidates for the n-party reflected entropy. In the context of AdS3/CFT2, we provide a boundary interpretation of our construction as a multiboundary wormhole, and conjecture that this interpretation generalizes to higher dimensions.},

  doi          = {10.1007/JHEP10(2019)102},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 10,

  volume       = 2019,

  place        = {United States},

  year         = {Tue Oct 08 00:00:00 EDT 2019},

  month        = {Tue Oct 08 00:00:00 EDT 2019}

}

Copy to clipboard

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Works referencing / citing this record:

Entanglement Entropy after Double Excitation as an Interaction Measure
journal, February 2020

Kusuki, Yuya; Miyaji, Masamichi
Physical Review Letters, Vol. 124, Issue 6
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Entanglement Entropy after Double-Excitation as Interaction Measure
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Similar Records

Title: Multipartite reflected entropy

Abstract

Citation Formats

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal, May 2006

Coarse graining holographic black holes journal, May 2019

Entanglement of purification for multipartite states and its holographic dual journal, October 2018

Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime journal, January 2015

Entanglement of purification: from spin chains to holography journal, January 2018

Geometric aspects of holographic bit threads journal, May 2019

Multiboundary wormholes and holographic entanglement journal, September 2014

Surface theory: the classical, the quantum, and the holographic journal, September 2019

Bit threads and holographic entanglement of purification journal, August 2019

The entanglement of purification journal, September 2002

Entanglement of purification through holographic duality journal, March 2018

A covariant holographic entanglement entropy proposal journal, July 2007

Bit threads and holographic entanglement of purification journal, August 2019

Notes on entanglement wedge cross sections journal, July 2019

Holographic Entanglement of Purification from Conformal Field Theories journal, March 2019

Entanglement wedge reconstruction and entanglement of purification journal, August 2018

Entanglement Wedge Cross Section from the Dual Density Matrix journal, April 2019

Quantum corrections to holographic entanglement entropy journal, November 2013

Derivation of Holographic Negativity in AdS 3 / CFT 2 journal, September 2019

Entropy, extremality, euclidean variations, and the equations of motion journal, January 2018

Entanglement of purification and multiboundary wormhole geometries journal, February 2019

Holographic inequalities and entanglement of purification journal, March 2018

A Covariant Holographic Entanglement Entropy Proposal text, January 2007

Quantum corrections to holographic entanglement entropy text, January 2013

Multiboundary Wormholes and Holographic Entanglement text, January 2014

Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime text, January 2014

Entanglement of purification: from spin chains to holography text, January 2017

Entanglement Wedge Reconstruction and Entanglement of Purification text, January 2018

Geometric Aspects of Holographic Bit Threads text, January 2018

Holographic Entanglement of Purification from Conformal Field Theories text, January 2018

Bit threads and holographic entanglement of purification text, January 2019

Notes on entanglement wedge cross sections text, January 2019

Bit threads and holographic entanglement of purification text, January 2019

The entanglement of purification text, January 2002

Entanglement Entropy after Double Excitation as an Interaction Measure journal, February 2020

Entanglement Entropy after Double-Excitation as Interaction Measure text, January 2019

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006

Coarse graining holographic black holes
journal, May 2019

Entanglement of purification for multipartite states and its holographic dual
journal, October 2018

Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
journal, January 2015

Entanglement of purification: from spin chains to holography
journal, January 2018

Geometric aspects of holographic bit threads
journal, May 2019

Multiboundary wormholes and holographic entanglement
journal, September 2014

Surface theory: the classical, the quantum, and the holographic
journal, September 2019

Bit threads and holographic entanglement of purification
journal, August 2019

The entanglement of purification
journal, September 2002

Entanglement of purification through holographic duality
journal, March 2018

A covariant holographic entanglement entropy proposal
journal, July 2007

Bit threads and holographic entanglement of purification
journal, August 2019

Notes on entanglement wedge cross sections
journal, July 2019

Holographic Entanglement of Purification from Conformal Field Theories
journal, March 2019

Entanglement wedge reconstruction and entanglement of purification
journal, August 2018

Entanglement Wedge Cross Section from the Dual Density Matrix
journal, April 2019

Quantum corrections to holographic entanglement entropy
journal, November 2013

Derivation of Holographic Negativity in ${AdS}_{3} / {CFT}_{2}$
journal, September 2019

Entropy, extremality, euclidean variations, and the equations of motion
journal, January 2018

Entanglement of purification and multiboundary wormhole geometries
journal, February 2019

Holographic inequalities and entanglement of purification
journal, March 2018

A Covariant Holographic Entanglement Entropy Proposal
text, January 2007

Quantum corrections to holographic entanglement entropy
text, January 2013

Multiboundary Wormholes and Holographic Entanglement
text, January 2014

Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
text, January 2014

Entanglement of purification: from spin chains to holography
text, January 2017

Entanglement Wedge Reconstruction and Entanglement of Purification
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Geometric Aspects of Holographic Bit Threads
text, January 2018

Holographic Entanglement of Purification from Conformal Field Theories
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Bit threads and holographic entanglement of purification
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Notes on entanglement wedge cross sections
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Bit threads and holographic entanglement of purification
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The entanglement of purification
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Entanglement Entropy after Double Excitation as an Interaction Measure
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Entanglement Entropy after Double-Excitation as Interaction Measure
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