Decoherence in the three-state quantum walk

TL;DR

This paper investigates how different environmental interactions, such as damping, noise, and broken links, affect the behavior of a three-state quantum walk, which is important for quantum computing and simulation.

Contribution

It provides a comparative analysis of various decoherence models in a three-state quantum walk, enhancing understanding of environmental effects on quantum dynamics.

Findings

Decoherence significantly alters quantum walk behavior

Different environmental models produce distinct effects

Insights aid in designing more robust quantum systems

Abstract

Quantum walks are dynamic systems with a wide range of applications in quantum computation and quantum simulation of analog systems, therefore it is of common interest to understand what changes from an isolated process to one embedded in an environment. In the present work, we analyze the decoherence in a three-state uni-dimensional quantum walk. The approaches taken into consideration to account for the environment effects are phase and amplitude damping Kraus operators, unitary noise on the coin space, and broken links.