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578
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.
Entropy (Basel, Switzerland)
|December 23, 2023
Summary
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.
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.
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