Enhanced quantum transport in chiral quantum walks

Fuente: arXiv
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Autores principales: Annoni, Emilio, Frigerio, Massimo, Paris, Matteo G. A.
Formato: Preprint
Publicado: 2023
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author Annoni, Emilio
Frigerio, Massimo
Paris, Matteo G. A.
author_facet Annoni, Emilio
Frigerio, Massimo
Paris, Matteo G. A.
contents Quantum transport across discrete structures is a relevant topic of solid state physics and quantum information science, which can be suitably studied in the context of continuous-time quantum walks. The addition of phases degrees of freedom, leading to chiral quantum walks, can also account for directional transport on graphs with loops. We discuss criteria for quantum transport and study the enhancement that can be achieved with chiral quantum walks on chain-like graphs, exploring different topologies for the chain units and optimizing over the phases. We select three candidate structures with optimal performance and investigate their transport behaviour with Krylov reduction. While one of them can be reduced to a weighted line with minor couplings modulation, the other two are truly chiral quantum walks, with enhanced transport probability over long chain structures.
format Preprint
id arxiv_https___arxiv_org_abs_2308_14747
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Enhanced quantum transport in chiral quantum walks
Annoni, Emilio
Frigerio, Massimo
Paris, Matteo G. A.
Quantum Physics
Statistical Mechanics
Mathematical Physics
Quantum transport across discrete structures is a relevant topic of solid state physics and quantum information science, which can be suitably studied in the context of continuous-time quantum walks. The addition of phases degrees of freedom, leading to chiral quantum walks, can also account for directional transport on graphs with loops. We discuss criteria for quantum transport and study the enhancement that can be achieved with chiral quantum walks on chain-like graphs, exploring different topologies for the chain units and optimizing over the phases. We select three candidate structures with optimal performance and investigate their transport behaviour with Krylov reduction. While one of them can be reduced to a weighted line with minor couplings modulation, the other two are truly chiral quantum walks, with enhanced transport probability over long chain structures.
title Enhanced quantum transport in chiral quantum walks
topic Quantum Physics
Statistical Mechanics
Mathematical Physics
url https://arxiv.org/abs/2308.14747