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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Perturbed graphs achieve unit transport efficiency without environmental noise.

Simone Cavazzoni1, Luca Razzoli1,2, Paolo Bordone1,3

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

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Enhancing quantum excitation transport efficiency in networks is possible without environmental noise. Minimal graph perturbations, like adding edge weights, can break symmetries and achieve unit transport efficiency.

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Area of Science:

  • Quantum physics
  • Complex networks
  • Graph theory

Background:

  • Coherent transport in networks is modeled as continuous-time quantum walks on graphs.
  • Excitation transport efficiency is measured by the integrated probability of trapping at a vertex.
  • Purely coherent transport is often less efficient than observed biological transport, with environmental noise considered crucial.

Purpose of the Study:

  • To investigate methods for enhancing transport efficiency in purely coherent quantum transport systems.
  • To explore the possibility of improving efficiency without relying on environmental noise.
  • To analyze the effect of minimal graph perturbations on transport properties.

Main Methods:

  • Analytical investigation of coherent transport on highly symmetric graphs.
  • Mathematical modeling of continuous-time quantum walks.
  • Perturbation analysis by adding extra weights to graph edges.

Main Results:

  • Minimal perturbations, such as adding weights to one or two edges, can significantly enhance transport efficiency.
  • Breaking inherent graph symmetries through edge weighting can lead to unit transport efficiency.
  • Conditions for achieving null transport efficiency (avoiding trapping) were also discussed.

Conclusions:

  • Environmental noise is not always necessary for efficient excitation transport.
  • Minimal, targeted modifications to network structure can overcome limitations of purely coherent transport.
  • This research offers a novel approach to optimizing quantum transport in engineered systems.