Markovianity criteria for quantum evolution

TL;DR

This paper characterizes Markovian quantum dynamics using divisibility and introduces criteria based on monotonicity of quantum information measures to distinguish Markovian from non-Markovian evolution.

Contribution

It provides a comprehensive characterization of Markovian quantum dynamics and new criteria for identifying non-Markovian behavior based on quantum information measures.

Findings

Markovian dynamics imply monotonic behavior of distinguishability, fidelity, and entanglement measures.

Introduces criteria for distinguishing Markovian and non-Markovian quantum evolutions.

Uses divisibility of dynamical maps to characterize Markovianity.

Abstract

We characterize a class of Markovian dynamics using the concept of divisible dynamical map. Moreover we provide a family of criteria which can distinguish Markovian and non-Markovian dynamics. These Markovianity criteria are based on a simple observation that Markovian dynamics implies monotonic behavior of several well known quantities like distinguishability of states, fidelity, relative entropy and genuine entanglement measures.