Von Neumann Entanglement and Decoherence in Two Dimensional Quantum Walks

TL;DR

This paper uses von Neumann entropy to quantify entanglement and information content in two-dimensional quantum walks, focusing on the mutual information between coin and position subsystems.

Contribution

It introduces a precise formulation of entanglement measurement in quantum walks using von Neumann entropy and mutual information.

Findings

Quantifies entanglement between coin and position subsystems.

Provides a framework for measuring information content in quantum walks.

Highlights the role of von Neumann entropy in understanding decoherence.

Abstract

Using the concept of von Neumann entropy, we quantify the information content of the various components of the quantum walk system, including the mutual information between its subsystems (coin and position) and use it to give a precise formulation of the measure of entanglement between subsystems.