Simple Non-Markovian Microscopic Models for the Depolarizing Channel of a Single Qubit

TL;DR

This paper develops simple microscopic models for the depolarizing channel of a single qubit, covering both classical and quantum cases, and reviews models for phase damping and amplitude damping channels.

Contribution

It introduces and analyzes microscopic models for the depolarizing channel, expanding understanding of non-Markovian quantum noise processes.

Findings

Models successfully describe non-Markovian depolarizing behavior

Provides a unified framework for classical and quantum depolarizing channels

Reviews existing models for phase and amplitude damping channels

Abstract

The archetypal one-qubit noisy channels ---depolarizing, phase-damping and amplitude-damping channels--- describe both Markovian and non-Markovian evolution. Simple microscopic models for the depolarizing channel, both classical and quantum, are considered. Microscopic models which describe phase damping and amplitude damping channels are briefly reviewed.