Perspectives and applications of chiral quantum walks

Frigerio, M. (2022) Perspectives and applications of chiral quantum walks. Il nuovo cimento C, 45 (4). pp. 1-10. ISSN 1826-9885

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Continuous-time quantum walks (CTQWs) are quantum systems undergoing a unitary evolution on discrete structures, in analogy to classical random walks on graphs. They are widely studied in quantum information science to model quantum transport, to design quantum algorithms and as a universal paradigm for quantum computation. Although their definition assumes a real, symmetric generator, their generalization to complex, hermitian generators is possible, and in fact it can be uniquely derived from minimal requests on the correspondence with their classical analogues. This leads to chiral CTQWs, whose peculiarities are related to the concept of Aharonov-Bohm phases. In this article, we review the ideas behind the generalization of CTQWs to chiral quantum walks and the new features possessed by the latter, providing some examples in which the effect of such phases enhances the performance of these simple, yet powerful quantum models.

Item Type: Article
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 06 Sep 2022 11:31
Last Modified: 06 Sep 2022 11:31

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