Von Neumann Entanglement and Decoherence in Two Dimensional Quantum Walks

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.

It will be interesting to consider basic quantities of information theory to give a precise formulation of the measure of entanglement between subsytems (coin and position)

References in corpus (2)

• Decoherence in a quantum walk on the line
• On the von Neumann and Shannon Entropies for Quantum Walks on Z^2