Generalized Pauli channels and a class of non-Markovian quantum evolution

TL;DR

This paper studies a class of non-Markovian quantum evolutions modeled by generalized Pauli channels, identifying conditions under which information back-flow is absent, thus advancing understanding of quantum decoherence and non-Markovian dynamics.

Contribution

It introduces a framework for analyzing non-Markovian quantum evolution via generalized Pauli channels and derives criteria for the absence of information back-flow.

Findings

Derived necessary and sufficient conditions for no information back-flow.

Characterized the quantum evolution using random decoherence channels.

Enhanced understanding of non-Markovian quantum processes.

Abstract

We analyze the quantum evolution represented by a time-dependent family of generalized Pauli channels. This evolution is provided by the random decoherence channels with respect to the maximal number of mutually unbiased bases. We derive the necessary and sufficient conditions for the vanishing back-flow of information.