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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.03021 |
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| _version_ | 1866912260144758784 |
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| author | Yoshino, Saori Shiratori, Honoka Yamagami, Tomoki Horisaki, Ryoichi Segawa, Etsuo |
| author_facet | Yoshino, Saori Shiratori, Honoka Yamagami, Tomoki Horisaki, Ryoichi Segawa, Etsuo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03021 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normal variance mixture with arcsine law of an interpolating walk between persistent random walk and quantum walk Yoshino, Saori Shiratori, Honoka Yamagami, Tomoki Horisaki, Ryoichi Segawa, Etsuo Quantum Physics 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. |
| title | Normal variance mixture with arcsine law of an interpolating walk between persistent random walk and quantum walk |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2503.03021 |