Chaos in quantum channels
We study chaos and scrambling in unitary channels by considering their entanglement properties as states. Using out-of-time-order correlation functions to diagnose chaos, we characterize the ability of a channel to process quantum information. We show that the generic decay of such correlators impli...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
Springer/SISSA
2016
|
| Online Access: | http://hdl.handle.net/1721.1/101609 https://orcid.org/0000-0002-8348-6506 |
| _version_ | 1826213144538644480 |
|---|---|
| author | Hosur, Pavan Qi, Xiao-Liang Yoshida, Beni Roberts, Daniel Adam |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Hosur, Pavan Qi, Xiao-Liang Yoshida, Beni Roberts, Daniel Adam |
| author_sort | Hosur, Pavan |
| collection | MIT |
| description | We study chaos and scrambling in unitary channels by considering their entanglement properties as states. Using out-of-time-order correlation functions to diagnose chaos, we characterize the ability of a channel to process quantum information. We show that the generic decay of such correlators implies that any input subsystem must have near vanishing mutual information with almost all partitions of the output. Additionally, we propose the negativity of the tripartite information of the channel as a general diagnostic of scrambling. This measures the delocalization of information and is closely related to the decay of out-of-time-order correlators. We back up our results with numerics in two non-integrable models and analytic results in a perfect tensor network model of chaotic time evolution. These results show that the butterfly effect in quantum systems implies the information-theoretic definition of scrambling. |
| first_indexed | 2024-09-23T15:44:20Z |
| format | Article |
| id | mit-1721.1/101609 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T15:44:20Z |
| publishDate | 2016 |
| publisher | Springer/SISSA |
| record_format | dspace |
| spelling | mit-1721.1/1016092022-09-29T15:50:56Z Chaos in quantum channels Hosur, Pavan Qi, Xiao-Liang Yoshida, Beni Roberts, Daniel Adam Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Roberts, Daniel Adam We study chaos and scrambling in unitary channels by considering their entanglement properties as states. Using out-of-time-order correlation functions to diagnose chaos, we characterize the ability of a channel to process quantum information. We show that the generic decay of such correlators implies that any input subsystem must have near vanishing mutual information with almost all partitions of the output. Additionally, we propose the negativity of the tripartite information of the channel as a general diagnostic of scrambling. This measures the delocalization of information and is closely related to the decay of out-of-time-order correlators. We back up our results with numerics in two non-integrable models and analytic results in a perfect tensor network model of chaotic time evolution. These results show that the butterfly effect in quantum systems implies the information-theoretic definition of scrambling. Hertz Foundation United States. Dept. of Energy (Cooperative Research Agreement Contract DE-SC0012567) 2016-03-04T19:16:02Z 2016-03-04T19:16:02Z 2016-02 2015-11 2016-03-04T17:05:04Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/101609 Hosur, Pavan, Xiao-Liang Qi, Daniel A. Roberts, and Beni Yoshida. “Chaos in Quantum Channels.” J. High Energ. Phys. 2016, no. 2 (February 2016). https://orcid.org/0000-0002-8348-6506 http://dx.doi.org/10.1007/JHEP02(2016)004 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer/SISSA TopicHub SCOAP3 |
| spellingShingle | Hosur, Pavan Qi, Xiao-Liang Yoshida, Beni Roberts, Daniel Adam Chaos in quantum channels |
| title | Chaos in quantum channels |
| title_full | Chaos in quantum channels |
| title_fullStr | Chaos in quantum channels |
| title_full_unstemmed | Chaos in quantum channels |
| title_short | Chaos in quantum channels |
| title_sort | chaos in quantum channels |
| url | http://hdl.handle.net/1721.1/101609 https://orcid.org/0000-0002-8348-6506 |
| work_keys_str_mv | AT hosurpavan chaosinquantumchannels AT qixiaoliang chaosinquantumchannels AT yoshidabeni chaosinquantumchannels AT robertsdanieladam chaosinquantumchannels |