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Discrete-Time Quantum Walk on Multilayer Networks.

Mahesh N Jayakody1, Priodyuti Pradhan2, Dana Ben Porath1

  • 1Faculty of Engineering and the Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat Gan 5290002, Israel.

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Summary
This summary is machine-generated.

This study models quantum walks on multilayer networks, analyzing walker behavior and probabilities. It also investigates how environmental decoherence affects quantum transport in these complex structures.

Keywords:
decoherencediscrete-time quantum walksmultilayer network

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Area of Science:

  • Complex Systems
  • Quantum Physics
  • Network Science

Background:

  • Multilayer networks offer a robust framework for analyzing complex interactions across diverse systems.
  • Quantum walks provide a powerful tool for exploring quantum phenomena in various network structures.

Purpose of the Study:

  • To investigate the dynamics of discrete-time quantum walks on multilayer networks.
  • To develop a simulation model for quantum walker evolution on these networks.
  • To analyze the influence of decoherence on quantum transport within multilayer structures.

Main Methods:

  • Derivation of a recurrence formula for quantum walker wave function coefficients.
  • Extension of the formula to incorporate multiple network layers.
  • Simulation of quantum walker time evolution using Fourier and Grover walks.
  • Analysis of decoherence effects on quantum transport.

Main Results:

  • A simulation model was developed to describe quantum walker dynamics on multilayer networks.
  • Time-averaged and return probabilities were calculated for Fourier and Grover walks.
  • The impact of decoherence on quantum transport was analyzed.

Conclusions:

  • The study provides insights into quantum walker behavior on multilayer networks.
  • Decoherence significantly influences quantum transport dynamics in these systems.
  • The developed model serves as a basis for further research in quantum network dynamics.