Witnessing non-Markovianity of quantum evolution

TL;DR

This paper introduces a new way to identify and measure non-Markovian quantum dynamics using witnesses and various informational quantities, enhancing understanding of quantum evolution.

Contribution

It proposes a non-Markovianity witness and a corresponding measure, extending the characterization of quantum dynamics beyond existing methods.

Findings

Introduces a non-Markovianity witness analogous to entanglement witness.

Defines a measure of non-Markovianity based on this witness.

Characterizes non-Markovianity using entropic quantities, fidelity, and skew information.

Abstract

We provide further characterization of non-Markovian quantum dynamics based on the concept of divisible dynamical maps. In analogy to entanglement witness we propose a non-Markovianity witness and introduce the corresponding measure of non-Markovianity. We also provide characterization of non-Markovianity in terms of entropic quantities, fidelity and Wigner-Yanase-Dyson skew information.