6 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…
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…
Periodicity and absolute zeta functions of multi-state Grover walks on cycles
Jirô Akahori, Norio Konno, Iwao Sato +1
Quantum walks, the quantum counterpart of classical random walks, are extensively studied for their applications in mathematics, quantum physics, and quantum information science. T…
Absolute zeta functions for zeta functions of quantum walks
Jirô Akahori, Norio Konno, Rikuki Okamoto +1
This paper presents a connection between the quantum walk and the absolute mathematics. The quantum walk is a quantum counterpart of the classical random walk. We especially deal w…
Absolute zeta functions and periodicity of quantum walks on cycles
Jirô Akahori, Norio Konno, Iwao Sato +1
The quantum walk is a quantum counterpart of the classical random walk. On the other hand, absolute zeta functions can be considered as zeta functions over . This stu…
A quantization of interacting particle systems
Jirô Akahori, Norio Konno, Rikuki Okamoto +1
Interacting particle systems studied in this paper are probabilistic cellular automata with nearest-neighbor interaction including the Domany-Kinzel model. A special case of the Do…