2 citations · 5 across the 4 of their papers we have counts for
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quant-ph2021
A new type of spectral mapping theorem for quantum walks with a moving shift on graphs
Sho Kubota, Kei Saito, Yusuke Yoshie
The conventional spectral mapping theorem for quantum walks can only be applied for walks employing a shift operator whose square is the identity. This theorem gives most of the ei…
quant-ph2019★ 2 cited
Periodicity for the 3-state quantum walk on cycles
Takeshi Kajiwara, Norio Konno, Shohei Koyama +1
Dukes (2014) and Konno, Shimizu, and Takei (2017) studied the periodicity for 2-state quantum walks whose coin operator is the Hadamard matrix on cycle graph C_N with N vertices. T…
quant-ph2018
Periodicity for the Fourier quantum walk on regular graphs
Kei Saito
Quantum walks determined by the coin operator on graphs have been intensively studied. The typical examples of coin operator are the Grover and Fourier matrices. The periodicity of…