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Rescuing complementarity with little drama

Bao, Ning and Bouland, Adam and Chatwin-Davies, Aidan and Pollack, Jason and Yuen, Henry (2016) Rescuing complementarity with little drama. Journal of High Energy Physics, 2016 (12). Art. No. 026. ISSN 1029-8479. doi:10.1007/JHEP12(2016)026.

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The AMPS paradox challenges black hole complementarity by apparently constructing a way for an observer to bring information from the outside of the black hole into its interior if there is no drama at its horizon, making manifest a violation of monogamy of entanglement. We propose a new resolution to the paradox: this violation cannot be explicitly checked by an infalling observer in the finite proper time they have to live after crossing the horizon. Our resolution depends on a weak relaxation of the no-drama condition (we call it “little-drama”) which is the “complementarity dual” of scrambling of information on the stretched horizon. When translated to the description of the black hole interior, this implies that the fine-grained quantum information of infalling matter is rapidly diffused across the entire interior while classical observables and coarse-grained geometry remain unaffected. Under the assumption that information has diffused throughout the interior, we consider the difficulty of the information-theoretic task that an observer must perform after crossing the event horizon of a Schwarzschild black hole in order to verify a violation of monogamy of entanglement. We find that the time required to complete a necessary subroutine of this task, namely the decoding of Bell pairs from the interior and the late radiation, takes longer than the maximum amount of time that an observer can spend inside the black hole before hitting the singularity. Therefore, an infalling observer cannot observe monogamy violation before encountering the singularity.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Bao, Ning0000-0002-3296-1039
Bouland, Adam0000-0002-8556-8337
Chatwin-Davies, Aidan0000-0003-1406-9271
Pollack, Jason0000-0003-4754-4905
Additional Information:© 2016 The Author(s). 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. Received: August 9, 2016; Revised: September 27, 2016; Accepted: November 18, 2016; Published: December 7, 2016. We thank Wilson Brenna, Charles Cao, Sean Carroll, Daniel Harlow, Jonathan David Maltz, Grant Remmen, and Douglas Stanford for helpful discussions. This is material is based upon work supported in part by the following funding sources: N.B. is supported in part by the DuBridge Postdoctoral Fellowship, by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NFS Grant PHY-1125565) with support of the Gordon and Betty Moore Foundation (GBMF-12500028), and by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DESC0011632. A.B. is supported in part by the NSF Graduate Research Fellowship under grant no. 1122374 and by the NSF Alan T. Waterman award under grant no. 1249349. A.C.-D. is supported by the NSERC Postgraduate Scholarship program. J.P. is 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. H.Y. was supported by Simons Foundation grant 360893, and National Science Foundation grant 1218547.
Group:Institute for Quantum Information and Matter, Moore Center for Theoretical Cosmology and Physics
Funding AgencyGrant Number
DuBridge Postdoctoral FellowshipUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF-12500028
Department of Energy (DOE)DE-SC0011632
NSF Graduate Research FellowshipDGE-1122374
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Gordon and Betty Moore Foundation776
Simons Foundation360893
Subject Keywords:Black Holes; Models of Quantum Gravity
Issue or Number:12
Record Number:CaltechAUTHORS:20170113-125141759
Persistent URL:
Official Citation:Bao, N., Bouland, A., Chatwin-Davies, A. et al. J. High Energ. Phys. (2016) 2016: 26. doi:10.1007/JHEP12(2016)026
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73487
Deposited By: Tony Diaz
Deposited On:18 Jan 2017 22:00
Last Modified:11 Nov 2021 05:17

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