Resource Theory of Non-Revivals with Applications to Quantum Many-Body Scars

Fuente: arXiv
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Autori principali: Garcia, Roy J., Bu, Kaifeng, Chen, Liyuan, Graf, Anton M.
Natura: Preprint
Pubblicazione: 2024
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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