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Transport Efficiency of Continuous-Time Quantum Walks on Graphs.

Luca Razzoli¹, Matteo G A Paris^2,3, Paolo Bordone^1,4

¹Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università di Modena e Reggio Emilia, I-41125 Modena, Italy.

Entropy (Basel, Switzerland)

|January 13, 2021

Summary

This summary is machine-generated.

Continuous-time quantum walks model particle transport on graphs. Researchers found graph topology, not just connectivity, dictates transport efficiency, offering benchmarks for quantum transport.

Keywords:

connectivity quantum walk transport efficiency transport on graph

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Area of Science:

Quantum physics
Graph theory
Condensed matter physics

Background:

Continuous-time quantum walk (CTQW) models quantum particle propagation on graphs.
CTQW is a framework for studying transport phenomena, such as in light-harvesting systems.
Transport efficiency in CTQW depends on initial states and graph topology.

Purpose of the Study:

Investigate the influence of graph topology on quantum transport efficiency.
Analyze how regularity, symmetry, and connectivity affect transport properties.
Identify subspaces of maximum transport efficiency for different graph structures.

Main Methods:

Analytical determination of subspaces with maximum transport efficiency.
Focus on idealized conditions: no disorder or decoherence.
Modeling with a single trap vertex for loss processes.

Main Results:

Graph topology significantly impacts quantum transport efficiency.
Connectivity is generally a poor predictor of transport efficiency.
Specific correlations between efficiency and connectivity exist for certain graph types, but not universally.

Conclusions:

Quantum transport efficiency is intricately linked to graph topology beyond simple connectivity.
The findings provide benchmarks for environment-assisted quantum transport.
Understanding topological effects is crucial for optimizing quantum transport systems.