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arXiv · 2304.10118

Bandit Algorithm Driven by a Classical Random Walk and a Quantum Walk

Tomoki Yamagami·Etsuo Segawa·Takatomo Mihana·André Röhm·Ryoichi Horisaki·Makoto Naruse
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Abstract

Quantum walks (QWs) have a property that classical random walks (RWs) do not possess -- the coexistence of linear spreading and localization -- and this property is utilized to implement various kinds of applications. This paper proposes RW- and QW-based algorithms for multi-armed-bandit (MAB) problems. We show that, under some settings, the QW-based model realizes higher performance than the corresponding RW-based one by associating the two operations that make MAB problems difficult -- exploration and exploitation -- with these two behaviors of QWs.

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Tomoki Yamagami, Etsuo Segawa, Takatomo Mihana, André Röhm, Ryoichi Horisaki, Makoto Naruse. 2023-04-20. Bandit Algorithm Driven by a Classical Random Walk and a Quantum Walk. https://doi.org/10.3390/e25060843

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