Discrete Quantum Walk on a Line with Two Entangled Particles

TL;DR

This paper reviews the dynamics of discrete quantum walks involving two entangled particles, exploring boundary conditions, superposition, and entanglement effects through simulations with different boundary setups.

Contribution

It provides a comprehensive survey of two-particle quantum walks, including the effects of boundary conditions and entanglement, with simulation results for various scenarios.

Findings

Boundary conditions influence quantum walk dynamics.

Entanglement affects the walk's behavior and outcomes.

Simulations show differences between periodic and absorbing boundaries.

Abstract

A review of discrete quantum walk with two particle is given. The use of different states encountered in identical particle, and the idea of entanglement and superposition is explored to explored the interesting dynamics of two particle quantum walk. Boundary conditions can specify certain dynamics and so a survey of periodic boundary condition (circle) is presented. A simulation for a Hadamard walk for different periods of a circle is considered and results are compared for various periods and for a case with absorbing boundaries.