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A NOTE ON MARKOVIAN QUANTUM DYNAMICS

Published online by Cambridge University Press:  15 May 2017

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
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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.

Type
Research Article
Copyright
© 2017 Australian Mathematical Society 

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