Transport Efficiency of Continuous-Time Quantum Walks on Graphs

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 dep...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2021-01, Vol.23 (1), p.85
Main Authors: Razzoli, Luca, Paris, Matteo G A, Bordone, Paolo
Format: Article
Language:English
Subjects:
Connectivity
Efficiency
Energy
Graph theory
Graphs
Quantum transport
quantum walk
Symmetry
Topology
transport efficiency
transport on graph
Transport properties
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Summary: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.
ISSN:1099-4300
1099-4300
DOI:10.3390/e23010085