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quant-ph2025
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…
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…