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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.10142 |
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| _version_ | 1866913199602794496 |
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| author | Garcia, Roy J. Bu, Kaifeng Chen, Liyuan Graf, Anton M. |
| author_facet | Garcia, Roy J. Bu, Kaifeng Chen, Liyuan Graf, Anton M. |
| contents | The study of state revivals has a long history in dynamical systems. We introduce a resource theory to understand the use of state revivals in quantum physics, especially in quantum many-body scarred systems. In this theory, a state is said to contain no amount of resource if it experiences perfect revivals under some unitary evolution. All other states are said to be resourceful. We show that this resource bounds information scrambling. Furthermore, we show that quantum many-body scarred dynamics can produce revivals in the Hayden-Preskill decoding protocol and can also be used to recover damaged quantum information. Our theory establishes a framework to study information retrieval and its applications in quantum many-body physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10142 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resource Theory of Non-Revivals with Applications to Quantum Many-Body Scars Garcia, Roy J. Bu, Kaifeng Chen, Liyuan Graf, Anton M. Quantum Physics The study of state revivals has a long history in dynamical systems. We introduce a resource theory to understand the use of state revivals in quantum physics, especially in quantum many-body scarred systems. In this theory, a state is said to contain no amount of resource if it experiences perfect revivals under some unitary evolution. All other states are said to be resourceful. We show that this resource bounds information scrambling. Furthermore, we show that quantum many-body scarred dynamics can produce revivals in the Hayden-Preskill decoding protocol and can also be used to recover damaged quantum information. Our theory establishes a framework to study information retrieval and its applications in quantum many-body physics. |
| title | Resource Theory of Non-Revivals with Applications to Quantum Many-Body Scars |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2401.10142 |