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arXiv · 2408.15653

Circuit Implementation of Discrete-Time Quantum Walks on Complex Networks

Rei Sato·Kazuhiro Saito
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Abstract

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.

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Rei Sato, Kazuhiro Saito. 2024-08-28. Circuit Implementation of Discrete-Time Quantum Walks on Complex Networks. https://doi.org/10.1109/qce60285.2024.10313

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