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quant-ph2026

Entanglement entropy in two-particle Grover walks on graphs

Sho Kubota, Haruhiko Matsubara, Etsuo Segawa

We define a two-particle quantum walk of identical particles on a graph via the one-particle Grover walk on the Kronecker product , and call it the two-particle Gr…

quant-ph2026

Quantum spatial best-arm identification via quantum walks

Tomoki Yamagami, Etsuo Segawa, Takatomo Mihana +3

Quantum reinforcement learning has emerged as a framework combining quantum computation with sequential decision-making, and applications to the multi-armed bandit (MAB) problem ha…

quant-ph2025

Multi-player conflict avoidance through entangled quantum walks

Honoka Shiratori, Tomoki Yamagami, Etsuo Segawa +3

Quantum computing has the potential to solve complex problems faster and more efficiently than classical computing. It can achieve speedups by leveraging quantum phenomena like sup…

quant-ph2025

Comfortability of quantum walks on embedded graphs on surfaces

Yusuke Higuchi, Etsuo Segawa

The time evolutions of discrete-time quantum walks on graphs are determined by the local adjacency relations of the graphs. In this paper, first, we construct a discrete-time quant…

quant-ph2025

A method of approximation of discrete Schrödinger equation with the normalized Laplacian by discrete-time quantum walk on graphs

Kei Saito, Etsuo Segawa

We propose a class of continuous-time quantum walk models on graphs induced by a certain class of discrete-time quantum walk models with the parameter . Here the graph…

quant-ph2025

Normal variance mixture with arcsine law of an interpolating walk between persistent random walk and quantum walk

Saori Yoshino, Honoka Shiratori, Tomoki Yamagami +2

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 distr…