Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
Advance online publication
Displaying 1-2 of 2 articles from this issue
  • Taisuke HOSAKA, Renato PORTUGAL, Etsuo SEGAWA
    Article ID: 2024.R.05
    Published: 2024
    Advance online publication: November 29, 2024
    JOURNAL OPEN ACCESS ADVANCE PUBLICATION

    In this paper, we analyze the dynamics of quantum walks on a graph structure resulting from the integration of a main connected graph G and a secondary connected graph G′. This composite graph is formed by a disjoint union of G and G′, followed by the contraction of a selected pair of vertices creating a cut vertex v* and leading to a unique form of geometric perturbation. Our study focuses on instances where G is a complete graph KN and G′ is a star graph Sm. The core of our analysis lies in exploring the impact of this geometric perturbation on the success probability of quantum walk-based search algorithms, particularly in an oracle-free context. Despite initial findings suggesting a low probability of locating the perturbed graph G′, we demonstrate that introducing a phase reversal to the system significantly enhances the success rate. Our results reveal that with an optimal running time and specific parameter conditions, the success probability can be substantially increased. The paper is structured to first define the theoretical framework, followed by the presentation of our main results, detailed proofs, and concluding with a summary of our findings and potential future research directions.

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  • Chusei KIUMI, Norio KONNO, Yuki OSHIMA
    Article ID: 2024.R.04
    Published: 2024
    Advance online publication: July 30, 2024
    JOURNAL OPEN ACCESS ADVANCE PUBLICATION

    Previous studies presented zeta functions by the Konno–Sato theorem or the Fourier analysis for one-particle models, including random walks, correlated random walks, quantum walks, and open quantum random walks. Furthermore, the zeta functions for the multi-particle model with probabilistic or quantum interactions, called the interacting particle system (IPS), were also investigated. In this paper, we focus on the zeta function for a class of IPS, including the Domany–Kinzel model, which is a typical model of the probabilistic IPS in the field of statistical mechanics and mathematical biology.

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