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Title: Holographic entanglement distillation from the surface state correspondence

Journal Article · · Journal of High Energy Physics (Online)
ORCiD logo [1]; ORCiD logo [2]
  1. Northeastern Univ., Boston, MA (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
  2. Northeastern Univ., Boston, MA (United States)
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We study correlations between geometric subfactors living on the Ryu-Takayanagi surface that bounds the entanglement wedge. Using the surface-state correspondence and the bit threads program, we are able to calculate mutual information and conditional mutual information between subfactors. This enables us to count the shared Bell pairs between subfactors, and we propose an entanglement distillation procedure over these subsystems via a SWAP gate protocol. We comment on extending to multipartite entanglement.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
SC0012704
OSTI ID:
2341817
Report Number(s):
BNL--225542-2024-JAAM
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2024; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

References (13)

Entanglement of purification: from spin chains to holography journal January 2018
Holographic inequalities and entanglement of purification journal March 2018
The holographic entropy cone journal September 2015
The Markov gap for geometric reflected entropy journal October 2021
Beyond toy models: distilling tensor networks in full AdS/CFT journal November 2019
Bit Threads and Holographic Entanglement journal November 2016
Entanglement of purification through holographic duality journal March 2018
Surface/state correspondence as a generalized holography journal July 2015
Entanglement distillation toward minimal bond cut surface in tensor networks journal October 2022
Holographic proof of the strong subadditivity of entanglement entropy journal November 2007
Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels journal September 1996
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal May 2006
Quantum resource theories journal April 2019

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Related Subjects

99 GENERAL AND MISCELLANEOUS
AdS-CFT correspondence
gauge-gravity correspondence