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Realizing the Hayden-Preskill protocol with coupled Dicke models

Cheng, Yanting and Liu, Chang and Guo, Jinkang and Chen, Yu and Zhang, Pengfei and Zhai, Hui (2020) Realizing the Hayden-Preskill protocol with coupled Dicke models. Physical Review Research, 2 (4). Art. No. 043024. ISSN 2643-1564. https://resolver.caltech.edu/CaltechAUTHORS:20201006-131507338

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Abstract

Hayden and Preskill proposed a thought experiment in which Bob can recover the information Alice throws into a black hole if he has a quantum computer entangled with the black hole, and for which Yoshida and Kitaev recently proposed a concrete decoding scheme. In the context of quantum many-body physics, the parallel question is that after a small system is thermalized with a large system, how can one decode the initial state information with the help of two entangled many-body systems? Here, we propose to realize this decoding protocol in a physical system of two Dicke models, with two cavity fields prepared in a thermofield double state. We show that the Yoshida-Kitaev protocol allows us to read out the initial spin information after it is scrambled into the cavity. We show that the readout efficiency reaches a maximum when the model parameters are tuned to the regime where the system is the most chaotic, characterized by the shortest scrambling time in the out-of-time-ordered correlation function. Our proposal opens up the possibility of discussing this profound thought experiment in a realistic setting.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevresearch.2.043024DOIArticle
https://arxiv.org/abs/1909.12568arXivDiscussion Paper
ORCID:
AuthorORCID
Liu, Chang0000-0002-1218-0673
Guo, Jinkang0000-0001-6458-383X
Additional Information:© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Received 22 October 2019; accepted 21 August 2020; published 5 October 2020. This work is supported by Beijing Outstanding Young Scientist Program (H.Z.), MOST under Grant No. 2016YFA0301600 (H.Z.) and NSFC Grants No. 11734010 (H.Z. and Y.C.) and No. 11604225 (Y.C.), and Beijing Natural Science Foundation (Z180013) (Y.C.). P.Z. acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Ministry of Science and Technology (Taipei)2016YFA0301600
National Natural Science Foundation of China11734010
National Natural Science Foundation of China11604225
Beijing Natural Science FoundationZ180013
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:20201006-131507338
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201006-131507338
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105843
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Oct 2020 00:16
Last Modified:07 Oct 2020 00:16

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