Kraus decomposition for chaotic environments

TL;DR

This paper derives an exact Kraus operator sum representation for a quantum system interacting with a chaotic environment, providing a new numerical tool and insights into open quantum system dynamics.

Contribution

It introduces an explicit, exact Kraus OSR for chaotic environments, preserving key properties and useful for numerical simulations of open quantum systems.

Findings

OSR preserves Hermiticity, complete positivity, and norm

Tested against exact results for a qubit in a flawed quantum computer

Provides qualitative insights into open system dynamics

Abstract

We consider a system interacting with a chaotic thermodynamic bath. We derive an explicit and exact Kraus operator sum representation (OSR) for the open system reduced density. The OSR preserves the Hermiticity, complete positivity and norm. We show that it is useful as a numerical tool by testing it against exact results for a qubit interacting with an isolated flawed quantum computer. We also discuss some interesting qualitative aspects of the OSR.