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arXiv · 1302.6673

Geometrical characterization of non-Markovianity

S. Lorenzo·F. Plastina·M. Paternostro
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Abstract

We introduce a new tool for the quantitative characterisation of the departure form 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 prediticve power by tackling a few canonical examples.

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S. Lorenzo, F. Plastina, M. Paternostro. 2013-02-27. Geometrical characterization of non-Markovianity. https://doi.org/10.1103/physreva.88.020102

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