Measure for the non-Markovianity of quantum processes
: Laine EM, Piilo J, Breuer HP
Publisher: AMER PHYSICAL SOC
: 2010
: Physical Review A
: PHYSICAL REVIEW A
: PHYS REV A
: ARTN 062115
: 6
: 81
: 6
: 8
: 1050-2947
DOI: https://doi.org/10.1103/PhysRevA.81.062115
: https://arxiv.org/abs/1002.2583
Recently, a measure for the non-Markovian behavior of quantum processes in open systems has been developed, which is based on the quantification of the flow of information between the open system and its environment [Phys. Rev. Lett. 103, 210401 (2009)]. The information flow is connected to the rate of change of the trace distance between quantum states, which can be interpreted in terms of the distinguishability of these states. Here, we elaborate the mathematical details of this theory, present applications to specific physical models, and discuss further theoretical and experimental implications as well as relations to alternative approaches proposed recently.