Measures of non-Markovianity: Divisibility versus backflow of information

被引：224
作者：
Chruscinski, Dariusz [1 ]
Kossakowski, Andrzej [1 ]
Rivas, Angel [2 ,3 ]
机构：
[1] Nicholas Copernicus Univ, Inst Phys, PL-87100 Torun, Poland
[2] Univ Complutense, Fac Ciencias Fis, Dept Fis Teor 1, E-28040 Madrid, Spain
[3] Univ Ulm, Inst Theoret Phys, D-89069 Ulm, Germany
来源：
PHYSICAL REVIEW A | 2011年 / 83卷 / 05期
关键词：
DYNAMICAL SEMIGROUPS; MASTER-EQUATIONS; QUANTUM; ENTANGLEMENT; GENERATORS;
D O I：
10.1103/PhysRevA.83.052128
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We analyze two recently proposed measures of non-Markovianity: one based on the concept of divisibility of the dynamical map and the other one based on distinguishability of quantum states. We provide a model to show that these two measures need not agree. In addition, we discuss possible generalizations and intricate relations between these measures.
引用
收藏
页数：6
相关论文
共 39 条
  • [1] Fault-tolerant quantum computation with long-range correlated noise
    Aharonov, D
    Kitaev, A
    Preskill, J
    [J]. PHYSICAL REVIEW LETTERS, 2006, 96 (05)
  • [2] Alicki R., 1987, Lecture Notes in Physics
  • [3] Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
    Apollaro, Tony J. G.
    Di Franco, Carlo
    Plastina, Francesco
    Paternostro, Mauro
    [J]. PHYSICAL REVIEW A, 2011, 83 (03):
  • [4] Breuer H.P., 2007, THEORY OPEN QUANTUM, DOI DOI 10.1093/ACPROF:OSO/9780199213900.001.0001
  • [5] Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
    Breuer, Heinz-Peter
    Laine, Elsi-Mari
    Piilo, Jyrki
    [J]. PHYSICAL REVIEW LETTERS, 2009, 103 (21)
  • [6] Structure of completely positive quantum master equations with memory kernel
    Breuer, Heinz-Peter
    Vacchini, Bassano
    [J]. PHYSICAL REVIEW E, 2009, 79 (04)
  • [7] Quantum semi-Markov processes
    Breuer, Heinz-Peter
    Vacchini, Bassano
    [J]. PHYSICAL REVIEW LETTERS, 2008, 101 (14)
  • [8] Genuine quantum trajectories for non-Markovian processes
    Breuer, HP
    [J]. PHYSICAL REVIEW A, 2004, 70 (01): : 012106 - 1
  • [9] Exact quantum jump approach to open systems in bosonic and spin baths
    Breuer, HP
    [J]. PHYSICAL REVIEW A, 2004, 69 (02): : 8
  • [10] Stochastic representation of a class of non-Markovian completely positive evolutions
    Budini, AA
    [J]. PHYSICAL REVIEW A, 2004, 69 (04): : 042107 - 1
1234