Microscopic derivation of the one qubit Kraus operators for amplitude and phase damping

TL;DR

This paper derives the Kraus operators for amplitude and phase damping of a qubit from a microscopic perspective, providing detailed insights into the dynamics that are often estimated phenomenologically.

Contribution

It introduces a microscopic derivation method for qubit Kraus operators for amplitude and phase damping, enhancing understanding of their underlying physical processes.

Findings

Derived explicit Kraus operators for amplitude damping

Derived explicit Kraus operators for phase damping

Simulated qubit dynamics showing Bloch sphere evolution

Abstract

This article presents microscopic derivation of the Kraus operators for (the generalized) amplitude and phase damping process. Derivation is based on the recently developed method [Andersson et al, J. Mod.Opt. 54, 1695 (2007)] which concerns finite dimensional systems (e.g. qubit). The form of these operators is usually estimated without insight into the microscopic details of the dynamics. The behavior of the qubit dynamics is simulated and depicted via Bloch sphere change.