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Wormhole and Entanglement (Non-)Detection in the ER=EPR Correspondence

Bao, Ning and Pollack, Jason and Remmen, Grant N. (2015) Wormhole and Entanglement (Non-)Detection in the ER=EPR Correspondence. Journal of High Energy Physics, 2015 (11). Art. No. 126. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:20151022-121803520

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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. This statement is the ER=EPR dual of the undetectability of entanglement.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1509.05426arXivDiscussion Paper
http://dx.doi.org/10.1007/JHEP11(2015)126 DOIArticle
http://link.springer.com/article/10.1007%2FJHEP11%282015%29126PublisherArticle
ORCID:
AuthorORCID
Bao, Ning0000-0002-3296-1039
Pollack, Jason0000-0003-4754-4905
Remmen, Grant N.0000-0001-6569-8866
Additional Information:© 2015 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: September 23, 2015; Accepted: October 31, 2015; Published: November 19, 2015. We thank Sean Carroll and Clifford Cheung for helpful discussions. This research was supported in part by DOE grant DE-SC0011632 and by the Gordon and Betty Moore Foundation through Grant 776 to the Caltech Moore Center for Theoretical Cosmology and Physics. N.B. is supported by the DuBridge postdoctoral fellowship at the Walter Burke Institute for Theoretical Physics. G.N.R. is supported by a Hertz Graduate Fellowship and a NSF Graduate Research Fellowship under Grant No. DGE-1144469.
Group:Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter, IQIM, Moore Center for Theoretical Cosmology and Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Gordon and Betty Moore Foundation776
Lee A. DuBridge FellowshipUNSPECIFIED
Fannie and John Hertz FoundationUNSPECIFIED
NSF Graduate Research FellowshipDGE-1144469
SCOAP3UNSPECIFIED
Subject Keywords:Black Holes, Gauge-gravity correspondence, AdS-CFT Correspondence
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2015-048
Issue or Number:11
Record Number:CaltechAUTHORS:20151022-121803520
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20151022-121803520
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:61424
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:22 Oct 2015 20:18
Last Modified:03 Oct 2019 09:08

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