期刊
PHYSICAL REVIEW LETTERS
卷 124, 期 14, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.124.140502
关键词
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资金
- Russian Foundation for Basic Research [18-37-00282, 18-37-20073]
- Russian Ministry of Science and Higher Education [0066-2019-0005]
- Foundation for the Advancement of Theoretical Physics and Mathematics BASIS [19-1-2-66-1]
- Russian Science Foundation [17-11-01388]
- Russian Science Foundation [20-11-18044] Funding Source: Russian Science Foundation
Machine learning methods have proved to be useful for the recognition of patterns in statistical data. The measurement outcomes are intrinsically random in quantum physics, however, they do have a pattern when the measurements are performed successively on an open quantum system. This pattern is due to the system-environment interaction and contains information about the relaxation rates as well as non-Markovian memory effects. Here we develop a method to extract the information about the unknown environment from a series of projective single-shot measurements on the system (without resorting to the process tomography). The method is based on embedding the non-Markovian system dynamics into a Markovian dynamics of the system and the effective reservoir of finite dimension. The generator of Markovian embedding is learned by the maximum likelihood estimation. We verify the method by comparing its prediction with an exactly solvable non-Markovian dynamics. The developed algorithm to learn unknown quantum environments enables one to efficiently control and manipulate quantum systems.
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