JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (2): 28-33.doi: 10.6040/j.issn.1671-9352.0.2020.423

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Some characterizations of Markov quantum states

LYU Xiao-le, CHEN Zheng-li*, NIU Meng-fei   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710062, Shaanxi, China
  • Published:2021-01-21

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Abstract: By using operator theory and matrix theory, the significance of studying Markov quantum states is given. According to the definition of Markov quantum states and the related properties of von Neumann entropy, two necessary and sufficient conditions for a pure state to be a Markov quantum state and two sufficient conditions for a mixed state to be a Markov quantum state are proved.

Key words: Markov state, density matrix, von Neumann entropy

CLC Number: 

  • O177.1
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