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Resource theory of quantum scrambling
Quantum chaos has become a cornerstone of physics through its many applications. One trademark of quantum chaotic systems is the spread of local quantum information, which physicists call scrambling. In this work, we introduce a mathematical definition of scrambling and a resource theory to measure...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
National Academy of Sciences
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10151511/ https://www.ncbi.nlm.nih.gov/pubmed/37071685 http://dx.doi.org/10.1073/pnas.2217031120 |
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author | Garcia, Roy J. Bu, Kaifeng Jaffe, Arthur |
author_facet | Garcia, Roy J. Bu, Kaifeng Jaffe, Arthur |
author_sort | Garcia, Roy J. |
collection | PubMed |
description | Quantum chaos has become a cornerstone of physics through its many applications. One trademark of quantum chaotic systems is the spread of local quantum information, which physicists call scrambling. In this work, we introduce a mathematical definition of scrambling and a resource theory to measure it. We also describe two applications of this theory. First, we use our resource theory to provide a bound on magic, a potential source of quantum computational advantage, which can be efficiently measured in experiment. Second, we also show that scrambling resources bound the success of Yoshida’s black hole decoding protocol. |
format | Online Article Text |
id | pubmed-10151511 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | National Academy of Sciences |
record_format | MEDLINE/PubMed |
spelling | pubmed-101515112023-05-03 Resource theory of quantum scrambling Garcia, Roy J. Bu, Kaifeng Jaffe, Arthur Proc Natl Acad Sci U S A Physical Sciences Quantum chaos has become a cornerstone of physics through its many applications. One trademark of quantum chaotic systems is the spread of local quantum information, which physicists call scrambling. In this work, we introduce a mathematical definition of scrambling and a resource theory to measure it. We also describe two applications of this theory. First, we use our resource theory to provide a bound on magic, a potential source of quantum computational advantage, which can be efficiently measured in experiment. Second, we also show that scrambling resources bound the success of Yoshida’s black hole decoding protocol. National Academy of Sciences 2023-04-18 2023-04-25 /pmc/articles/PMC10151511/ /pubmed/37071685 http://dx.doi.org/10.1073/pnas.2217031120 Text en Copyright © 2023 the Author(s). Published by PNAS. https://creativecommons.org/licenses/by/4.0/This open access article is distributed under Creative Commons Attribution License 4.0 (CC BY) (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Physical Sciences Garcia, Roy J. Bu, Kaifeng Jaffe, Arthur Resource theory of quantum scrambling |
title | Resource theory of quantum scrambling |
title_full | Resource theory of quantum scrambling |
title_fullStr | Resource theory of quantum scrambling |
title_full_unstemmed | Resource theory of quantum scrambling |
title_short | Resource theory of quantum scrambling |
title_sort | resource theory of quantum scrambling |
topic | Physical Sciences |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10151511/ https://www.ncbi.nlm.nih.gov/pubmed/37071685 http://dx.doi.org/10.1073/pnas.2217031120 |
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