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quant-ph2025
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…
quant-ph2025
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…
quant-ph2024
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…