6 citations · 29 across the 39 of their papers we have counts for
40 papers
Walk/Zeta correspondence for quantum walks on path graphs: a pre-geometric structure implied by a generalized reflection principle
Jiro Akahori, Riki Kitano, Norio Konno +1
We establish a local Konno-Sato correspondence for reflected random and Szegedy walks on a finite path graph. A generalized reflection principle, using explicit involutions rather…
Iwasawa-Type Spectral Resultant Growth Laws for Grover Walks on Graph Towers
Jirô Akahori, Taro Hayashi, Ryoichi Suzuki
Let be a -tower of finite graphs, and let be the Grover transition matrix on . We study Iwasawa-type -adic growth l…
Factorization of Time-Ordered Exponentials for Wiener Space Transformations
Jirô Akahori, Takafumi Amaba, Tasuku Kubo
We develop an operator-algebraic framework for change-of-variables formulas on Wiener space, interpreting them as arising from hidden symmetries acting on observables. We show that…
Theoretical analysis of phase-rectified signal averaging (PRSA) algorithm
Jiro Akahori, Joseph Najnudel, Hau-Tieng Wu +1
Phase-rectified signal averaging (PRSA) is a widely used algorithm to analyze nonstationary biomedical time series. The method operates by identifying hinge points in the time seri…
Spectral analysis of hierarchical continuous-time quantum walks
Jirô Akahori, Yusuke Ide, Tomoki Kato +3
In this paper, we introduce hierarchical random walks at first. In this model, we use two types of random walkers, {global and local} walkers. The global walker chooses a local wal…
Grover algorithm and absolute zeta functions
Jirô Akahori, Kazuki Horita, Norio Konno +3
The Grover algorithm is one of the most famous quantum algorithms. On the other hand, the absolute zeta function can be regarded as a zeta function over defined by…