On a Class of Quantum Channels, Open Random Walks and Recurrence

被引：24
|
作者：
Lardizabal, Carlos F. [1 ]
Souza, Rafael R. [1 ]
机构：
[1] Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
来源：
JOURNAL OF STATISTICAL PHYSICS | 2015年 / 159卷 / 04期
关键词：
Quantum channel; Completely positive map; Quantum random walk; Recurrence; Markov chain; OPERATIONS; THEOREM;
D O I：
10.1007/s10955-015-1217-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a particular class of trace-preserving completely positive maps, called PQ-channels, for which classical and quantum evolutions are isolated in a certain sense. By combining open quantum random walks with a notion of recurrence, we are able to describe criteria for recurrence of the walk related to this class of channels. Positive recurrence for open walks is also discussed in this context.
引用
收藏
页码：772 / 796
页数：25
相关论文
共 50 条
  • [1] On a Class of Quantum Channels, Open Random Walks and Recurrence
    Carlos F. Lardizabal
    Rafael R. Souza
    Journal of Statistical Physics, 2015, 159 : 772 - 796
  • [2] Open quantum random walks, quantum Markov chains and recurrence
    Dhahri, Ameur
    Mukhamedov, Farrukh
    REVIEWS IN MATHEMATICAL PHYSICS, 2019, 31 (07)
  • [3] Open quantum random walks and quantum Markov Chains on trees II: the recurrence
    Farrukh Mukhamedov
    Abdessatar Souissi
    Tarek Hamdi
    Amenallah Andolsi
    Quantum Information Processing, 22
  • [4] Open quantum random walks and quantum Markov Chains on trees II: the recurrence
    Mukhamedov, Farrukh
    Souissi, Abdessatar
    Hamdi, Tarek
    Andolsi, Amenallah
    QUANTUM INFORMATION PROCESSING, 2023, 22 (06)
  • [5] Site recurrence of open and unitary quantum walks on the line
    Carvalho, Silas L.
    Guidi, Leonardo F.
    Lardizabal, Carlos F.
    QUANTUM INFORMATION PROCESSING, 2017, 16 (01)
  • [6] Site recurrence of open and unitary quantum walks on the line
    Silas L. Carvalho
    Leonardo F. Guidi
    Carlos F. Lardizabal
    Quantum Information Processing, 2017, 16
  • [7] Open Quantum Random Walks and Quantum Markov Chains
    Dhahri, A.
    Mukhamedov, F.
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2019, 53 (02) : 137 - 142
  • [8] Open Quantum Random Walks and Quantum Markov Chains
    A. Dhahri
    F. Mukhamedov
    Functional Analysis and Its Applications, 2019, 53 : 137 - 142
  • [9] OPEN QUANTUM RANDOM WALKS AND THE MEAN HITTING TIME FORMULA
    Lardizabal, Carlos F.
    QUANTUM INFORMATION & COMPUTATION, 2017, 17 (1-2) : 79 - 105
  • [10] Estimation of Capacity for Channels Connected with Elementary Quantum Random Walks
    S. Grishin
    Lobachevskii Journal of Mathematics, 2024, 45 (10) : 5014 - 5019
12345