Circuit Implementation of Discrete-Time Quantum Walks on Complex Networks
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908988236365824 |
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| author | Sato, Rei Saito, Kazuhiro |
| author_facet | Sato, Rei Saito, Kazuhiro |
| contents | In this paper, we propose a circuit design for implementing quantum walks on complex networks. Quantum walks are powerful tools for various graph-based applications such as spatial search, community detection, and node classification. Although many quantum-walk-based graph algorithms have been extensively studied, specific quantum circuits for implementing these algorithms have not yet been provided. To address this issue, we present a circuit design for implementing the discrete-time quantum walk on complex networks. We investigate the functionality of our circuit using the small-sized Watts-and-Strogatz model as the complex network model, comparing it with theoretical calculations. This work offers a new approach to constructing quantum circuits for implementing quantum walks on arbitrary complex networks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15653 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Circuit Implementation of Discrete-Time Quantum Walks on Complex Networks Sato, Rei Saito, Kazuhiro Quantum Physics In this paper, we propose a circuit design for implementing quantum walks on complex networks. Quantum walks are powerful tools for various graph-based applications such as spatial search, community detection, and node classification. Although many quantum-walk-based graph algorithms have been extensively studied, specific quantum circuits for implementing these algorithms have not yet been provided. To address this issue, we present a circuit design for implementing the discrete-time quantum walk on complex networks. We investigate the functionality of our circuit using the small-sized Watts-and-Strogatz model as the complex network model, comparing it with theoretical calculations. This work offers a new approach to constructing quantum circuits for implementing quantum walks on arbitrary complex networks. |
| title | Circuit Implementation of Discrete-Time Quantum Walks on Complex Networks |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.15653 |