4 papers · 1 filter
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…
Multi-dimensional continuous time quantum walks related to the birth and death chains
Yusuke Ide, Norio Konno, Akihiro Narimatsu
In this paper, we consider multi-dimensional birth and death chains and continuous time quantum walks (CTQW) related to them. For CTQW related to our forms of multi-dimensional bir…
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…