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Trapped Ion Quantum Computing Quantum Simulation

Discrete time quantum walk of locally interacting walkers

arXiv
Authors: Vikash Mittal, Tomasz Sowiński

Year

2025

Paper ID

17835

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • 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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.26612 [2] arXiv https://arxiv.org/abs/2510.26612 [3] Publisher https://arxiv.org/abs/2510.26612

Local Citation Graph (Related-Paper Links)

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