We introduce a tool for the quantitative characterization of the departure from Markovianity of a given dynamical process. Our tool can be applied to a generic N-level system and extended straightforwardly to Gaussian continuous-variable systems. It is linked to the change of the volume of physical states that are dynamically accessible to a system and provides qualitative expectations in agreement with some of the analogous tools proposed so far. We illustrate its predictive power by tackling a few canonical examples.
Lorenzo, S., Plastina, F., Paternostro, M. (2013). Geometrical characterization of non-Markovianity. PHYSICAL REVIEW A, 88(2), 020102-020102 [10.1103/PhysRevA.88.020102].
Geometrical characterization of non-Markovianity
LORENZO, Salvatore;Paternostro, M.
2013-01-01
Abstract
We introduce a tool for the quantitative characterization of the departure from Markovianity of a given dynamical process. Our tool can be applied to a generic N-level system and extended straightforwardly to Gaussian continuous-variable systems. It is linked to the change of the volume of physical states that are dynamically accessible to a system and provides qualitative expectations in agreement with some of the analogous tools proposed so far. We illustrate its predictive power by tackling a few canonical examples.
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