Wormhole and entanglement (non)detection in the ER=EPR correspondence
Abstract
The recently proposed ER=EPR correspondence postulates the existence of wormholes (EinsteinRosen 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 stateindependence 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:

 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 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; Black Holes; Gaugegravity correspondence; AdSCFT 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 (EinsteinRosen 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 stateindependence 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}
}
Web of Science
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