Asymptotic properties for Markovian dynamics in quantum theory and general probabilistic theories

Yoshida, Yuuya1; Hayashi, Masahito1,2,3,4

2020-05-29

10.1088/1751-8121/ab8599

Journal of Physics A-Mathematical and Theoretical   影响因子和分区

1751-8113

1751-8121

We address asymptotic decoupling in the context of Markovian quantum dynamics. Asymptotic decoupling is an asymptotic property on a bipartite quantum system, and asserts that any correlation between two quantum systems is broken after a sufficiently long time passes. In this paper, we show that asymptotic decoupling is equivalent to local mixing which asserts the convergence to a unique stationary state on at least one quantum system. If dynamics is asymptotically decoupling, any correlation between two quantum systems is broken exponentially. Also, we give a criterion of mixing that is a system of linear equations. All results in this paper are proved in the framework of general probabilistic theories, but we also summarize them in quantum theory.

Markovian dynamics asymptotic decoupling mixing ergodicity tensor product quantum theory general probabilistic theories

SCI

英语

其他

Japan Society for the Promotion of Science (JSPS)[19J20161] ; JSPS[17H01280][16KT0017]

Physics

Physics, Multidisciplinary ; Physics, Mathematical

WOS:000532363100001

IOP PUBLISHING LTD

Web of Science

1.Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan
2.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
3.Peng Cheng Lab, Ctr Quantum Comp, Shenzhen 518000, Peoples R China
4.Natl Univ Singapore, Ctr Quantum Technol, 3 Sci Dr 2, Singapore 117542, Singapore

Yoshida, Yuuya,Hayashi, Masahito. Asymptotic properties for Markovian dynamics in quantum theory and general probabilistic theories[J]. Journal of Physics A-Mathematical and Theoretical,2020,53(21).

Yoshida, Yuuya,&Hayashi, Masahito.(2020).Asymptotic properties for Markovian dynamics in quantum theory and general probabilistic theories.Journal of Physics A-Mathematical and Theoretical,53(21).

Yoshida, Yuuya,et al."Asymptotic properties for Markovian dynamics in quantum theory and general probabilistic theories".Journal of Physics A-Mathematical and Theoretical 53.21(2020).