Traversable wormholes as quantum channels: exploring CFT entanglement structure and channel capacity in holography
Abstract
We interpret the traversable wormhole in AdS/CFT in the context of quantum information theory. In particular, we investigate its properties as both a quantum channel and entanglement witness. We define protocols that allow either the bounding of the channel's entanglement capacity or the determination of aspects of the entanglement structure between the two boundary CFTs. Such protocols and connections allow for the use of quantum channel techniques in the study of gravitational physics and vice versa. More generally, our results suggest a purely quantum information-theoretic criterion for recognizing when the product of two boundary theories has a classical bulk interpretation.
Additional Information
© 2018 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. Article funded by SCOAP3. Received: September 13, 2018; Revised: October 20, 2018; Accepted: October 31, 2018; Published: November 9, 2018. We thank Matt Hodel, Junyu Liu, Alex May, Arvin Shahbazi-Moghaddam, Douglas Stanford, Mark Van Raamsdonk, and Quntao Zhuang for useful discussions. N.B. is supported by the National Science Foundation under grant number 82248-13067-44-PHPXH. A.C.-D. was supported by a Beatrice and Sai-Wai Fu Graduate Fellowship in Physics and by the Gordon and Betty Moore Foundation through Grant 776 to the Caltech Moore Center for Theoretical Cosmology and Physics for the entirety of the work except for the final stages of editorial review. A.C.-D. is currently supported in part by the KU Leuven C1 grant ZKD1118 C16/16/005, the National Science Foundation of Belgium (FWO) grant G.001.12 Odysseus, and by the European Research Council grant no. ERC-2013-CoG 616732 Holo-Qosmos. J.P. is supported in part by the Simons Foundation and in part by the Natural Sciences and Engineering Research Council of Canada. G.N.R. is supported by the Miller Institute for Basic Research in Science at the University of California, Berkeley.Attached Files
Published - Bao2018_Article_TraversableWormholesAsQuantumC.pdf
Submitted - 1808.05963v1.pdf
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Additional details
- Eprint ID
- 88985
- Resolver ID
- CaltechAUTHORS:20180821-131134609
- 82248-13067-44-PHPXH
- NSF
- Beatrice and Sai-Wai Fu Graduate Fellowship
- 776
- Gordon and Betty Moore Foundation
- ZKD1118 C16/16/005
- Katholieke Universiteit Leuven
- G.001.12
- Fonds Wetenschappelijk Onderzoek (FWO)
- 616732
- European Research Council (ERC)
- Simons Foundation
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- University of California, Berkeley
- SCOAP3
- Created
-
2018-08-21Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics, Moore Center for Theoretical Cosmology and Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2018-032