Quantum teleportation through time-shifted AdS wormholes

Journal of High Energy Physics, Aug 2018

Abstract Based on the work of Gao-Jafferis-Wall and Maldacena-Stanford-Yang, we observe that the time-shifted thermofield states of two entangled CFTs can be made traversable by an appropriate coupling of the two CFTs, or alternatively by the application of a modified quantum teleportation protocol. This provides evidence for the smoothness of the horizon for a large class of entangled states related to the thermofield by time-translations. The smoothness of these states has some relevance for the firewall paradox and the proposal that some observables in quantum gravity may be state-dependent. We notice that quantum teleportation through these entangled states could be used in a laboratory setup to implement a “time-machine”, which allows the observer to travel far in the future.

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Quantum teleportation through time-shifted AdS wormholes

Journal of High Energy Physics August 2018, 2018:142 | Cite as Quantum teleportation through time-shifted AdS wormholes AuthorsAuthors and affiliations Rik van BreukelenKyriakos Papadodimas Open Access Regular Article - Theoretical Physics First Online: 22 August 2018 Received: 04 July 2018 Accepted: 29 July 2018 5 Shares 28 Downloads Abstract Based on the work of Gao-Jafferis-Wall and Maldacena-Stanford-Yang, we observe that the time-shifted thermofield states of two entangled CFTs can be made traversable by an appropriate coupling of the two CFTs, or alternatively by the application of a modified quantum teleportation protocol. This provides evidence for the smoothness of the horizon for a large class of entangled states related to the thermofield by time-translations. The smoothness of these states has some relevance for the firewall paradox and the proposal that some observables in quantum gravity may be state-dependent. We notice that quantum teleportation through these entangled states could be used in a laboratory setup to implement a “time-machine”, which allows the observer to travel far in the future. Keywords AdS-CFT Correspondence Black Holes Black Holes in String Theory  ArXiv ePrint: 1708.09370 Download to read the full article text Notes Open Access 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. References [1] P. Gao, D.L. Jafferis and A. Wall, Traversable Wormholes via a Double Trace Deformation, JHEP 12 (2017) 151 [arXiv:1608.05687] [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar [2] J.M. Maldacena, D. Stanford and Z. Yang, Diving into traversable wormholes, Fortsch. Phys. 65 (2017) 1700034 [arXiv:1704.05333] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [3] J.M. Maldacena and L. Susskind, Cool horizons for entangled black holes, Fortsch. Phys. 61 (2013) 781 [arXiv:1306.0533] [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar [4] A. Almheiri, D. Marolf, J. Polchinski and J. Sully, Black Holes: Complementarity or Firewalls?, JHEP 02 (2013) 062 [arXiv:1207.3123] [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar [5] A. Almheiri, D. Marolf, J. Polchinski, D. Stanford and J. Sully, An Apologia for Firewalls, JHEP 09 (2013) 018 [arXiv:1304.6483] [INSPIRE].ADSCrossRefGoogle Scholar [6] D. Marolf and J. Polchinski, Gauge/Gravity Duality and the Black Hole Interior, Phys. Rev. Lett. 111 (2013) 171301 [arXiv:1307.4706] [INSPIRE].ADSCrossRefGoogle Scholar [7] K. Papadodimas and S. Raju, An Infalling Observer in AdS/CFT, JHEP 10 (2013) 212 [arXiv:1211.6767] [INSPIRE].ADSCrossRefGoogle Scholar [8] K. Papadodimas and S. Raju, Black Hole Interior in the Holographic Correspondence and the Information Paradox, Phys. Rev. Lett. 112 (2014) 051301 [arXiv:1310.6334] [INSPIRE]. [9] K. Papadodimas and S. Raju, State-Dependent Bulk-Boundary Maps and Black Hole Complementarity, Phys. Rev. D 89 (2014) 086010 [arXiv:1310.6335] [INSPIRE]. [10] K. Papadodimas and S. Raju, The unreasonable effectiveness of exponentially suppressed corrections in preserving information, Int. J. Mod. Phys. D 22 (2013) 1342030 [INSPIRE]. [11] K. Papadodimas and S. Raju, Local Operators in the Eternal Black Hole, Phys. Rev. Lett. 115 (2015) 211601 [arXiv:1502.06692] [INSPIRE].ADSCrossRefGoogle Scholar [12] K. Papadodimas and S. Raju, Remarks on the necessity and implications of state-dependence in the black hole interior, Phys. Rev. D 93 (2016) 084049 [arXiv:1503.08825] [INSPIRE]. [13] J.M. Maldacena, Eternal black holes in anti-de Sitter, JHEP 04 (2003) 021 [hep-th/0106112] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [14] L. Susskind and Y. Zhao, Teleportation Through the Wormhole, arXiv:1707.04354 [INSPIRE]. [15] I. Heemskerk, D. Marolf, J. Polchinski and J. Sully, Bulk and Transhorizon Measurements in AdS/CFT, JHEP 10 (2012) 165 [arXiv:1201.3664] [INSPIRE].ADSCrossRefGoogle Scholar [16] S.H. Shenker and D. Stanford, Multiple Shocks, JHEP 12 (2014) 046 [arXiv:1312.3296] [INSPIRE]. [17] S.H. Shenker and D. Stanford, Black holes and the butterfly effect, JHEP 03 (2014) 067 [arXiv:1306.0622] [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar [18] S. Lloyd, Ultimate physical limits to computation, Nature 406 (2000) 1047 [quant-ph/9908043] [INSPIRE]. [19] I. Kourkoulou and J.M. Maldacena, Pure states in the SYK model and nearly-AdS 2 gravity, arXiv:1707.02325 [INSPIRE]. [20] K. Papadodimas, A class of non-equilibrium states and the black hole interior, arXiv:1708.06328 [INSPIRE]. Copyright information © The Author(s) 2018 Authors and Affiliations Rik van Breukelen12Kyriakos Papadodimas13Email author1.Theoretical Physics DepartmentCERNGeneva 23Switzerland2.Geneva UniversityGeneva 4Switzerland3.Van Swinderen Institute for Particle Physics and GravityUniversity of GroningenGroningenThe Netherlands


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Rik van Breukelen, Kyriakos Papadodimas. Quantum teleportation through time-shifted AdS wormholes, Journal of High Energy Physics, 2018, 142, DOI: 10.1007/JHEP08(2018)142