Measure for the non-Markovianity of quantum processes

By Elsi-Mari Laine, Jyrki Piilo, H. Breuer. 2010

403 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0ec83d99a4d340b6cfe4681337035b24bbbf3e8b

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Colloquium: Non-Markovian dynamics in open quantum systems (2015, background): “Employing the properties of the trace distance one can derive the following general inequality (Laine et al., 2010b) which holds for all t > 0: Iext(t)6 D(ρ1SE(t), ρ1S(t)⊗ ρ1E(t)) (33) +D(ρ2SE(t), ρ 2 S(t)⊗ ρ2E(t)) +D(ρ1E(t), ρ2E(t)).”
Dynamics of non-Markovian open quantum systems (2015, background): “An initial flow of information from the environment to the system has been found by Laine et al. (2010) to be linked to the presence of initial correlations between the system and the environment.”