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      Transport Efficiency of Continuous-Time Quantum Walks on Graphs

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          Abstract

          Continuous-time quantum walk describes the propagation of a quantum particle (or an excitation) evolving continuously in time on a graph. As such, it provides a natural framework for modeling transport processes, e.g., in light-harvesting systems. In particular, the transport properties strongly depend on the initial state and specific features of the graph under investigation. In this paper, we address the role of graph topology, and investigate the transport properties of graphs with different regularity, symmetry, and connectivity. We neglect disorder and decoherence, and assume a single trap vertex that is accountable for the loss processes. In particular, for each graph, we analytically determine the subspace of states having maximum transport efficiency. Our results provide a set of benchmarks for environment-assisted quantum transport, and suggest that connectivity is a poor indicator for transport efficiency. Indeed, we observe some specific correlations between transport efficiency and connectivity for certain graphs, but, in general, they are uncorrelated.

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          Quantum biology

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            Quantum computation and decision trees

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              Environment-assisted quantum transport

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                Author and article information

                Journal
                Entropy (Basel)
                Entropy (Basel)
                entropy
                Entropy
                MDPI
                1099-4300
                09 January 2021
                January 2021
                : 23
                : 1
                : 85
                Affiliations
                [1 ]Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università di Modena e Reggio Emilia, I-41125 Modena, Italy
                [2 ]Quantum Technology Lab, Dipartimento di Fisica Aldo Pontremoli, Università Degli Studi di Milano, I-20133 Milano, Italy; matteo.paris@ 123456fisica.unimi.it
                [3 ]INFN, Sezione di Milano, I-20133 Milano, Italy
                [4 ]Centro S3, CNR-Istituto di Nanoscienze, I-41125 Modena, Italy
                Author notes
                Author information
                https://orcid.org/0000-0002-9129-2154
                https://orcid.org/0000-0001-7523-7289
                https://orcid.org/0000-0002-4313-0732
                Article
                entropy-23-00085
                10.3390/e23010085
                7826824
                33435338
                c9c6e77d-af5f-4230-8fcc-60422801edc3
                © 2021 by the authors.

                Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/).

                History
                : 27 November 2020
                : 07 January 2021
                Categories
                Article

                transport on graph,quantum walk,transport efficiency,connectivity

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