Discrete-time quantum walk of locally interacting walkers

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Authors: Vikash Mittal, Tomasz Sowiński
Cited by: 2
References: 49

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.

Fields of Study & Subjects

Quantum Computing Algorithms and Architecture Quantum Information and Cryptography Quantum many-body systems

Publication details

Journal / source
Physical Review A
Publisher
American Physical Society (APS)
Volume
113
Issue
1
Publication date
2 January 2026
Language
EN