Realizing the Hayden-Preskill protocol with coupled Dicke models
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 phy...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-10-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.043024 |
| _version_ | 1797211262193500160 |
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| author | Yanting Cheng Chang Liu Jinkang Guo Yu Chen Pengfei Zhang Hui Zhai |
| author_facet | Yanting Cheng Chang Liu Jinkang Guo Yu Chen Pengfei Zhang Hui Zhai |
| author_sort | Yanting Cheng |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T10:23:41Z |
| format | Article |
| id | doaj.art-54ba5e374d854c92aa07b9f6fb0a57af |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:23:41Z |
| publishDate | 2020-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-54ba5e374d854c92aa07b9f6fb0a57af2024-04-12T17:01:52ZengAmerican Physical SocietyPhysical Review Research2643-15642020-10-012404302410.1103/PhysRevResearch.2.043024Realizing the Hayden-Preskill protocol with coupled Dicke modelsYanting ChengChang LiuJinkang GuoYu ChenPengfei ZhangHui ZhaiHayden 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.http://doi.org/10.1103/PhysRevResearch.2.043024 |
| spellingShingle | Yanting Cheng Chang Liu Jinkang Guo Yu Chen Pengfei Zhang Hui Zhai Realizing the Hayden-Preskill protocol with coupled Dicke models Physical Review Research |
| title | Realizing the Hayden-Preskill protocol with coupled Dicke models |
| title_full | Realizing the Hayden-Preskill protocol with coupled Dicke models |
| title_fullStr | Realizing the Hayden-Preskill protocol with coupled Dicke models |
| title_full_unstemmed | Realizing the Hayden-Preskill protocol with coupled Dicke models |
| title_short | Realizing the Hayden-Preskill protocol with coupled Dicke models |
| title_sort | realizing the hayden preskill protocol with coupled dicke models |
| url | http://doi.org/10.1103/PhysRevResearch.2.043024 |
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