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A NOTE ON MARKOVIAN QUANTUM DYNAMICS

Part of: General quantum mechanics and problems of quantization General convexity

Published online by Cambridge University Press:  15 May 2017

L. CHEN Open the ORCID record for L. CHEN [Opens in a new window] ,
H. X. MENG Open the ORCID record for H. X. MENG [Opens in a new window] ,
H. X. CAO Open the ORCID record for H. X. CAO [Opens in a new window] ,
Y. F. HUANG Open the ORCID record for Y. F. HUANG [Opens in a new window]  and
Y. YANG Open the ORCID record for Y. YANG [Opens in a new window]
L. CHEN
Affiliation:
School of Mathematics and Information Science, Shaanxi Normal University, 710062 Xi’an, China email b13128@snnu.edu.cn email menghuixian@snnu.edu.cn email caohx@snnu.edu.cn Department of Mathematics, Changji College, 831100 Changji, China email huangyongfeng@snnu.edu.cn
H. X. MENG
Affiliation:
School of Mathematics and Information Science, Shaanxi Normal University, 710062 Xi’an, China email b13128@snnu.edu.cn email menghuixian@snnu.edu.cn email caohx@snnu.edu.cn
H. X. CAO*
Affiliation:
School of Mathematics and Information Science, Shaanxi Normal University, 710062 Xi’an, China email b13128@snnu.edu.cn email menghuixian@snnu.edu.cn email caohx@snnu.edu.cn
Y. F. HUANG
Affiliation:
School of Mathematics and Information Science, Shaanxi Normal University, 710062 Xi’an, China email b13128@snnu.edu.cn email menghuixian@snnu.edu.cn email caohx@snnu.edu.cn Department of Mathematics, Changji College, 831100 Changji, China email huangyongfeng@snnu.edu.cn
Y. YANG
Affiliation:
School of Mathematics and Information Science, Shaanxi Normal University, 710062 Xi’an, China email b13128@snnu.edu.cn email menghuixian@snnu.edu.cn email caohx@snnu.edu.cn Department of Applied Mathematics, Yuncheng University, 044000 Yuncheng, China email yangyingyy@snnu.edu.cn
*
✉caohx@snnu.edu.cn
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Abstract

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Based on the definition of divisibility of Markovian quantum dynamics, we discuss the Markovianity of tensor products, multiplications and some convex combinations of Markovian quantum dynamics. We prove that the tensor product of two Markovian dynamics is also a Markovian dynamics and propose a new witness of non-Markovianity.

Keywords

quantum Markovianitydivisibilitywitness

MSC classification

Primary: 81S22: Open systems, reduced dynamics, master equations, decoherence
Secondary: 81P40: Quantum coherence, entanglement, quantum correlations 52A37: Other problems of combinatorial convexity
Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 436 - 445
Copyright
© 2017 Australian Mathematical Society 

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