Normal Variance Mixture with Arcsine Law of an Interpolating Walk Between Persistent Random Walk and Quantum Walk
Saori Yoshino, Honoka Shiratori, Tomoki Yamagami, Ryoichi Horisaki, Etsuo Segawa
TL;DR
This paper introduces a model that smoothly transitions between quantum and classical random walks, showing a unique statistical distribution.
Contribution
A new model that interpolates between quantum and persistent random walks with a single parameter.
Findings
The model's limit distribution follows a normal variance mixture with arcsine law.
The interpolation reveals a continuous transition between quantum and classical walk behaviors.
Abstract
We propose a model that interpolates between quantum walks and persistent (correlated) random walks using one parameter on the one-dimensional lattice. We show that the limit distribution is described by the normal variance mixture with the arcsine law.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum and electron transport phenomena