Traversable wormholes as quantum channels: exploring CFT entanglement structure and channel capacity in holography

Bao, Ning; Chatwin-Davies, Aidan; Pollack, Jason; Remmen, Grant N.

doi:10.1007/JHEP11(2018)071

Title: Traversable wormholes as quantum channels: exploring CFT entanglement structure and channel capacity in holography

Journal Article · 08 November 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP11(2018)071 · OSTI ID:1596296

Bao, Ning ^[1]; Chatwin-Davies, Aidan ^[2]; Pollack, Jason ^[3]; Remmen, Grant N. ^[4]

Univ. of California, Berkeley, CA (United States). Center for Theoretical Physics and Department of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Caltech
California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Katholieke Univ. Leuven, Heverlee (Belgium). Inst.for Theoretical Physics
Univ. of British Columbia, Vancouver, BC (Canada)
Univ. of California, Berkeley, CA (United States). Center for Theoretical Physics and Department of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

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.

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Research Organization:: California Inst. of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: European Research Council (ERC); National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0011632

OSTI ID:: 1596296

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (36)

Cool horizons for entangled black holes Maldacena, J.; Susskind, L. Fortschritte der Physik, Vol. 61, Issue 9 https://doi.org/10.1002/prop.201300020	journal	August 2013
Splitting spacetime and cloning qubits: linking no-go theorems across the ER=EPR duality: Splitting spacetime and cloning qubits Bao, Ning; Pollack, Jason; Remmen, Grant N. Fortschritte der Physik, Vol. 63, Issue 11-12 https://doi.org/10.1002/prop.201500053	journal	November 2015
Diving into traversable wormholes: Diving into traversable wormholes Maldacena, Juan; Stanford, Douglas; Yang, Zhenbin Fortschritte der Physik, Vol. 65, Issue 5 https://doi.org/10.1002/prop.201700034	journal	May 2017
Black holes and the butterfly effect Shenker, Stephen H.; Stanford, Douglas Journal of High Energy Physics, Vol. 2014, Issue 3 https://doi.org/10.1007/JHEP03(2014)067	journal	March 2014
Bulk locality and quantum error correction in AdS/CFT Almheiri, Ahmed; Dong, Xi; Harlow, Daniel Journal of High Energy Physics, Vol. 2015, Issue 4 https://doi.org/10.1007/JHEP04(2015)163	journal	April 2015
Entanglement conservation, ER=EPR, and a new classical area theorem for wormholes Remmen, Grant N.; Bao, Ning; Pollack, Jason Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)048	journal	July 2016
Finite N and the failure of bulk locality: black holes in AdS/CFT Kabat, Daniel; Lifschytz, Gilad Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)077	journal	September 2014
Wormhole and entanglement (non-)detection in the ER=EPR correspondence Bao, Ning; Pollack, Jason; Remmen, Grant N. Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)126	journal	November 2015
Traversable wormholes via a double trace deformation Gao, Ping; Jafferis, Daniel Louis; Wall, Aron C. Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)151	journal	December 2017
Thermo-field dynamics of black holes Israel, W. Physics Letters A, Vol. 57, Issue 2 https://doi.org/10.1016/0375-9601(76)90178-X	journal	May 1976
The gravitational shock wave of a massless particle Dray, Tevian; 't Hooft, Gerard Nuclear Physics B, Vol. 253 https://doi.org/10.1016/0550-3213(85)90525-5	journal	January 1985
Large N field theories, string theory and gravity Aharony, Ofer; Gubser, Steven S.; Maldacena, Juan Physics Reports, Vol. 323, Issue 3-4 https://doi.org/10.1016/S0370-1573(99)00083-6	journal	January 2000
Gauge theory correlators from non-critical string theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. Physics Letters B, Vol. 428, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00377-3	journal	May 1998
Separability of mixed states: necessary and sufficient conditions Horodecki, Michał; Horodecki, Paweł; Horodecki, Ryszard Physics Letters A, Vol. 223, Issue 1-2 https://doi.org/10.1016/S0375-9601(96)00706-2	journal	November 1996
The Large-N Limit of Superconformal Field Theories and Supergravity Maldacena, Juan International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133 https://doi.org/10.1023/A:1026654312961	journal	January 1999
Ultimate classical communication rates of quantum optical channels Giovannetti, V.; García-Patrón, R.; Cerf, N. J. Nature Photonics, Vol. 8, Issue 10 https://doi.org/10.1038/nphoton.2014.216	journal	September 2014
The world as a hologram Susskind, Leonard Journal of Mathematical Physics, Vol. 36, Issue 11 https://doi.org/10.1063/1.531249	journal	November 1995
The (2 + 1)-dimensional black hole Carlip, S. Classical and Quantum Gravity, Vol. 12, Issue 12 https://doi.org/10.1088/0264-9381/12/12/005	journal	December 1995
The asymptotic entanglement cost of preparing a quantum state Hayden, Patrick M.; Horodecki, Michal; Terhal, Barbara M. Journal of Physics A: Mathematical and General, Vol. 34, Issue 35 https://doi.org/10.1088/0305-4470/34/35/314	journal	August 2001
Eternal black holes in anti-de Sitter Maldacena, Juan Journal of High Energy Physics, Vol. 2003, Issue 04 https://doi.org/10.1088/1126-6708/2003/04/021	journal	April 2003
Double-trace deformations, mixed boundary conditions and functional determinants in AdS/CFT Hartman, Thomas; Rastelli, Leonardo Journal of High Energy Physics, Vol. 2008, Issue 01 https://doi.org/10.1088/1126-6708/2008/01/019	journal	January 2008
Mixed-state entanglement and quantum error correction Bennett, Charles H.; DiVincenzo, David P.; Smolin, John A. Physical Review A, Vol. 54, Issue 5 https://doi.org/10.1103/PhysRevA.54.3824	journal	November 1996
Holographic representation of local bulk operators Hamilton, Alex; Kabat, Daniel; Lifschytz, Gilad Physical Review D, Vol. 74, Issue 6 https://doi.org/10.1103/PhysRevD.74.066009	journal	September 2006
Holographic Dual of an Einstein-Podolsky-Rosen Pair has a Wormhole Jensen, Kristan; Karch, Andreas Physical Review Letters, Vol. 111, Issue 21 https://doi.org/10.1103/PhysRevLett.111.211602	journal	November 2013
Holographic Schwinger Effect and the Geometry of Entanglement Sonner, Julian Physical Review Letters, Vol. 111, Issue 21 https://doi.org/10.1103/PhysRevLett.111.211603	journal	November 2013
Holographic Complexity Equals Bulk Action? Brown, Adam R.; Roberts, Daniel A.; Susskind, Leonard Physical Review Letters, Vol. 116, Issue 19 https://doi.org/10.1103/PhysRevLett.116.191301	journal	May 2016
Wormholes, Time Machines, and the Weak Energy Condition Morris, Michael S.; Thorne, Kip S.; Yurtsever, Ulvi Physical Review Letters, Vol. 61, Issue 13 https://doi.org/10.1103/PhysRevLett.61.1446	journal	September 1988
Black hole in three-dimensional spacetime Bañados, Máximo; Teitelboim, Claudio; Zanelli, Jorge Physical Review Letters, Vol. 69, Issue 13 https://doi.org/10.1103/PhysRevLett.69.1849	journal	September 1992
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels Bennett, Charles H.; Brassard, Gilles; Crépeau, Claude Physical Review Letters, Vol. 70, Issue 13 https://doi.org/10.1103/PhysRevLett.70.1895	journal	March 1993
Separability Criterion for Density Matrices Peres, Asher Physical Review Letters, Vol. 77, Issue 8 https://doi.org/10.1103/PhysRevLett.77.1413	journal	August 1996
Quantum Capacities of Bosonic Channels Wolf, Michael M.; Pérez-García, David; Giedke, Geza Physical Review Letters, Vol. 98, Issue 13 https://doi.org/10.1103/PhysRevLett.98.130501	journal	March 2007
The holographic principle Bousso, Raphael Reviews of Modern Physics, Vol. 74, Issue 3 https://doi.org/10.1103/RevModPhys.74.825	journal	August 2002
A Survey on Quantum Channel Capacities Gyongyosi, Laszlo; Imre, Sandor; Nguyen, Hung Viet IEEE Communications Surveys & Tutorials, Vol. 20, Issue 2 https://doi.org/10.1109/COMST.2017.2786748	journal	July 2018
On the capacities of bipartite hamiltonians and unitary gates Bennett, C. H.; Harrow, A. W.; Leung, D. W. IEEE Transactions on Information Theory, Vol. 49, Issue 8 https://doi.org/10.1109/TIT.2003.814935	journal	August 2003
An introduction to entanglement measures Plenio, M. B.; Virmani, S. Quantum Information and Computation, Vol. 7, Issue 1&2 https://doi.org/10.26421/QIC7.1-2-1	journal	January 2007
Anti de Sitter space and holography Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a2	journal	January 1998

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