Quantum scrambling with classical shadows
Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to quantify quantum information scrambling under many-body dynamics. Due to the OTOC's unusual time ordering, its measur...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033155 |
| _version_ | 1797210936686149632 |
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| author | Roy J. Garcia You Zhou Arthur Jaffe |
| author_facet | Roy J. Garcia You Zhou Arthur Jaffe |
| author_sort | Roy J. Garcia |
| collection | DOAJ |
| description | Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to quantify quantum information scrambling under many-body dynamics. Due to the OTOC's unusual time ordering, its measurement is challenging. We propose higher-point OTOCs to reveal early-time scrambling behavior, and present protocols to measure any higher-point OTOC using the shadow estimation method. The protocols circumvent the need for time-reversal evolution and ancillary control. They can be implemented in near-term quantum devices with single-qubit readout. |
| first_indexed | 2024-04-24T10:18:31Z |
| format | Article |
| id | doaj.art-802ba5bb817c4c738efe0888f43d4da1 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:18:31Z |
| publishDate | 2021-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-802ba5bb817c4c738efe0888f43d4da12024-04-12T17:12:53ZengAmerican Physical SocietyPhysical Review Research2643-15642021-08-013303315510.1103/PhysRevResearch.3.033155Quantum scrambling with classical shadowsRoy J. GarciaYou ZhouArthur JaffeQuantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to quantify quantum information scrambling under many-body dynamics. Due to the OTOC's unusual time ordering, its measurement is challenging. We propose higher-point OTOCs to reveal early-time scrambling behavior, and present protocols to measure any higher-point OTOC using the shadow estimation method. The protocols circumvent the need for time-reversal evolution and ancillary control. They can be implemented in near-term quantum devices with single-qubit readout.http://doi.org/10.1103/PhysRevResearch.3.033155 |
| spellingShingle | Roy J. Garcia You Zhou Arthur Jaffe Quantum scrambling with classical shadows Physical Review Research |
| title | Quantum scrambling with classical shadows |
| title_full | Quantum scrambling with classical shadows |
| title_fullStr | Quantum scrambling with classical shadows |
| title_full_unstemmed | Quantum scrambling with classical shadows |
| title_short | Quantum scrambling with classical shadows |
| title_sort | quantum scrambling with classical shadows |
| url | http://doi.org/10.1103/PhysRevResearch.3.033155 |
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