58 citations · 195 across the 32 of their papers we have counts for
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quant-ph2014★ 2 cited
Limit theorems of a 3-state quantum walk and its application for discrete uniform measures
Takuya Machida
We present two long-time limit theorems of a 3-state quantum walk on the line when the walker starts from the origin. One is a limit measure which is obtained from the probability…
quant-ph2014
A limit theorem for a 3-period time-dependent quantum walk
F. Alberto Grünbaum, Takuya Machida
We consider a discrete-time 2-state quantum walk on the line. The state of the quantum walker evolves according to a rule which is determined by a coin-flip operator and a position…