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Title: Wormhole and entanglement (non-)detection in the ER=EPR correspondence

Abstract

The recently proposed ER=EPR correspondence postulates the existence of wormholes (Einstein-Rosen bridges) between entangled states (such as EPR pairs). Entanglement is famously known to be unobservable in quantum mechanics, in that there exists no observable (or, equivalently, projector) that can accurately pick out whether a generic state is entangled. Many features of the geometry of spacetime, however, are observables, so one might worry that the presence or absence of a wormhole could identify an entangled state in ER=EPR, violating quantum mechanics, specifically, the property of state-independence of observables. In this note, we establish that this cannot occur: there is no measurement in general relativity that unambiguously detects the presence of a generic wormhole geometry. Furthermore, this statement is the ER=EPR dual of the undetectability of entanglement.

Authors:
 [1];  [1];  [1]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States)
Publication Date:
Research Org.:
California Inst. of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1435773
Grant/Contract Number:  
SC0011632
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: 2015; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Black Holes; Gauge-gravity correspondence; AdS-CFT Correspondence

Citation Formats

Bao, Ning, Pollack, Jason, and Remmen, Grant N. Wormhole and entanglement (non-)detection in the ER=EPR correspondence. United States: N. p., 2015. Web. doi:10.1007/JHEP11(2015)126.
Bao, Ning, Pollack, Jason, & Remmen, Grant N. Wormhole and entanglement (non-)detection in the ER=EPR correspondence. United States. doi:10.1007/JHEP11(2015)126.
Bao, Ning, Pollack, Jason, and Remmen, Grant N. Thu . "Wormhole and entanglement (non-)detection in the ER=EPR correspondence". United States. doi:10.1007/JHEP11(2015)126. https://www.osti.gov/servlets/purl/1435773.
@article{osti_1435773,
title = {Wormhole and entanglement (non-)detection in the ER=EPR correspondence},
author = {Bao, Ning and Pollack, Jason and Remmen, Grant N.},
abstractNote = {The recently proposed ER=EPR correspondence postulates the existence of wormholes (Einstein-Rosen bridges) between entangled states (such as EPR pairs). Entanglement is famously known to be unobservable in quantum mechanics, in that there exists no observable (or, equivalently, projector) that can accurately pick out whether a generic state is entangled. Many features of the geometry of spacetime, however, are observables, so one might worry that the presence or absence of a wormhole could identify an entangled state in ER=EPR, violating quantum mechanics, specifically, the property of state-independence of observables. In this note, we establish that this cannot occur: there is no measurement in general relativity that unambiguously detects the presence of a generic wormhole geometry. Furthermore, this statement is the ER=EPR dual of the undetectability of entanglement.},
doi = {10.1007/JHEP11(2015)126},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2015,
place = {United States},
year = {2015},
month = {11}
}

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