Next Article in Journal
Multi-Step Natural Gas Load Forecasting Incorporating Data Complexity Analysis with Finite Features
Previous Article in Journal
Transformer Fault Diagnosis Based on Knowledge Distillation and Residual Convolutional Neural Networks
Previous Article in Special Issue
Efficient Circuit Implementations of Continuous-Time Quantum Walks for Quantum Search
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Entropy
Volume 27
Issue 7
10.3390/e27070670
entropy-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Normal Variance Mixture with Arcsine Law of an Interpolating Walk Between Persistent Random Walk and Quantum Walk

by
Saori Yoshino
1,*,
Honoka Shiratori
2,
Tomoki Yamagami
2,
Ryoichi Horisaki
2 and
Etsuo Segawa
1
1
Graduate School of Environment and Information Sciences, Yokohama National University, Hodogaya, Yokohama 240-8501, Japan
2
Department of Information Physics and Computing, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan
*
Author to whom correspondence should be addressed.
Entropy 2025, 27(7), 670; https://doi.org/10.3390/e27070670 (registering DOI)
Submission received: 27 April 2025 / Revised: 14 June 2025 / Accepted: 21 June 2025 / Published: 23 June 2025
(This article belongs to the Special Issue Quantum Walks for Quantum Technologies)
Review Reports Versions Notes

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.
Keywords: limit theorem; persistent (or correlated) random walk; discrete-time stochastic quantum walk limit theorem; persistent (or correlated) random walk; discrete-time stochastic quantum walk

Share and Cite

MDPI and ACS Style

Yoshino, S.; Shiratori, H.; Yamagami, T.; Horisaki, R.; Segawa, E. Normal Variance Mixture with Arcsine Law of an Interpolating Walk Between Persistent Random Walk and Quantum Walk. Entropy 2025, 27, 670. https://doi.org/10.3390/e27070670

AMA Style

Yoshino S, Shiratori H, Yamagami T, Horisaki R, Segawa E. Normal Variance Mixture with Arcsine Law of an Interpolating Walk Between Persistent Random Walk and Quantum Walk. Entropy. 2025; 27(7):670. https://doi.org/10.3390/e27070670

Chicago/Turabian Style

Yoshino, Saori, Honoka Shiratori, Tomoki Yamagami, Ryoichi Horisaki, and Etsuo Segawa. 2025. "Normal Variance Mixture with Arcsine Law of an Interpolating Walk Between Persistent Random Walk and Quantum Walk" Entropy 27, no. 7: 670. https://doi.org/10.3390/e27070670

APA Style

Yoshino, S., Shiratori, H., Yamagami, T., Horisaki, R., & Segawa, E. (2025). Normal Variance Mixture with Arcsine Law of an Interpolating Walk Between Persistent Random Walk and Quantum Walk. Entropy, 27(7), 670. https://doi.org/10.3390/e27070670

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop