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quant-ph2022
An analogue of the Riemann Hypothesis via quantum walks
Norio Konno
We consider an analogue of the well-known Riemann Hypothesis based on quantum walks on graphs with the help of the Konno-Sato theorem. Furthermore, we give some examples for comple…
quant-ph2022
Comfortable place for quantum walkers on finite path
Yoshihiro Anahara, Norio Konno, Hisashi Morioka +1
We consider the stationary state of a quantum walk on the finite path, where the sink and source are set at the left and right boundaries. The quantum coin is uniformly placed at e…
quant-ph2022
Mahler/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato +1
The Mahler measure was introduced by Mahler in the study of number theory. It is known that the Mahler measure appears in different areas of mathematics and physics. On the other h…