Discrete-time Quantum Walk on Multilayer Networks
- URL: http://arxiv.org/abs/2310.02722v1
- Date: Wed, 4 Oct 2023 10:55:16 GMT
- Title: Discrete-time Quantum Walk on Multilayer Networks
- Authors: M. N. Jayakody, Priodyuti Pradhan, Dana Ben Porath, E. Cohen
- Abstract summary: We derive recurrence formulae for the coefficients of the wave function of a quantum walker on an undirected graph with finite number of nodes.
We develop a simulation model to describe the time-evolution of the quantum walker on a multilayer network.
We analyze the impact of decoherence on the quantum transport, shedding light on how environmental interactions may impact the behavior of quantum walkers on multilayer network structures.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: Multilayer network is a potent platform which paves a way to study the
interactions among entities in various networks with multiple types of
relationships. In this study, the dynamics of discrete-time quantum walk on a
multilayer network are explored in detail. We derive recurrence formulae for
the coefficients of the wave function of a quantum walker on an undirected
graph with finite number of nodes. By extending these formulae to include extra
layers, we develop a simulation model to describe the time-evolution of the
quantum walker on a multilayer network. The time-averaged probability and the
return probability of the quantum walker are studied in relation to Fourier and
Grover walks on multilayer networks. Furthermore, we analyze the impact of
decoherence on the quantum transport, shedding light on how environmental
interactions may impact the behavior of quantum walkers on multilayer network
structures.
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