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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]
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  1. California Inst. of Technology (CalTech), Pasadena, CA (United States)
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
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.
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Bao, Ning, Pollack, Jason, & Remmen, Grant N. Wormhole and entanglement (non-)detection in the ER=EPR correspondence. United States. https://doi.org/10.1007/JHEP11(2015)126
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Bao, Ning, Pollack, Jason, and Remmen, Grant N. Thu . "Wormhole and entanglement (non-)detection in the ER=EPR correspondence". United States. https://doi.org/10.1007/JHEP11(2015)126. https://www.osti.gov/servlets/purl/1435773.
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@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 = {Thu Nov 19 00:00:00 EST 2015},
month = {Thu Nov 19 00:00:00 EST 2015}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1007/JHEP11(2015)126
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Cited by: 12 works
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Figures / Tables:

Figure 1 Figure 1: The maximally extended AdS-Schwarzschild geometry, with Kruskal-Szekeres coordinates T,X and lightcone coordinates U,V indicated. Of course, the singularity actually appears as a hyperbola in T,X. This diagram is a conformally-transformed sketch to indicate the general relationship among the coordinates; see ref. [35] for more discussion. Regions I throughmore » IV are de ned by eq. (3.3).« less
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    Works referencing / citing this record:

    Interpolating the Schwarzschild and de Sitter metrics
    journal, January 2019

    • Halilsoy, M.; Mazharimousavi, S. Habib
    • International Journal of Modern Physics D, Vol. 28, Issue 02
    • DOI: 10.1142/s021827181950038x

    Space from Hilbert Space: Recovering Geometry from Bulk Entanglement
    text, January 2016

    Interpolating the Schwarzschild and de-Sitter metrics
    text, January 2019

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