Quantum Fisher Information Flow in Non-Markovian Processes of Open Systems

TL;DR

This paper introduces a quantum Fisher information-based method to quantify and distinguish non-Markovian dynamics in open quantum systems, revealing additive information flow characteristics for certain master equations.

Contribution

It presents a novel information-theoretic approach using quantum Fisher information to characterize non-Markovianity in open quantum systems.

Findings

QFI flow correlates with non-Markovianity.

Additive information sub-flows characterize non-Markovian channels.

Analytic solutions for time-local master equations support the approach.

Abstract

We propose to use the quantum Fisher information in characterizing the information flow of open quantum systems. This information-theoretic approach provides a quantitative measure to statistically distinguish Markovian and non-Markovian processes. A basic relation between the QFI flow and non-Markovianity is unveiled for quantum dynamics of open systems. For a class of time-local master equations, the exactly-analytic solution shows that the non-Markovianity is characterized by additive information sub-flows in different non-Markovian channels.