Discrete time quantum walk of locally interacting walkers

TL;DR

This paper introduces a flexible framework for local interactions between quantum walkers in discrete time quantum walks, enabling control over quantum correlations with potential applications in quantum simulation, state preparation, and sensing.

Contribution

It presents a two-parameter family of local interactions, unifying and extending previous models, and explores their effects on the dynamics of two quantum walkers.

Findings

Interaction framework influences quantum walk dynamics

Framework can generate quantum correlations for applications

Potential for analyzing many-body interactions

Abstract

In this work, we introduce a general form of a two-parameter family of local interactions between quantum walkers conditioned on the internal state of their coins. By choosing their particular case, we systematically study the impact of these interactions on the dynamics of two initially localized and noncorrelated walkers. Our general interaction framework, which reduces to several previously studied models as special cases, provides a versatile platform for engineering quantum correlations with applications in quantum simulation, state preparation, and sensing protocols. It also opens up the possibility of analyzing many-body interactions for larger numbers of walkers.