7 citations · 8 across the 3 of their papers we have counts for
6 papers · 1 filter
Limit distribution of a time-dependent quantum walk on the half line
Takuya Machida
We focus on a 2-period time-dependent quantum walk on the half line in this paper. The quantum walker launches at the edge of the half line in a localized superposition state and i…
A limit distribution for a quantum walk driven by a five-diagonal unitary matrix
Takuya Machida
In this paper, we work on a quantum walk whose system is manipulated by a five-diagonal unitary matrix, and present long-time limit distributions. The quantum walk launches off a l…
Some limit laws for quantum walks with applications to a version of the Parrondo paradox
Takuya Machida, F. Alberto Grunbaum
A quantum walker moves on the integers with four extra degrees of freedom, performing a coin-shift operation to alter its internal state and position at discrete units of time. The…
A quantum walk on the half line with a particular initial state
Takuya Machida
Quantum walks are considered to be quantum counterparts of random walks.They show us impressive probability distributions which are different from those of random walks.That fact h…
Realization of the probability laws in the quantum central limit theorems by a quantum walk
Takuya Machida
Since a limit distribution of a discrete-time quantum walk on the line was derived in 2002, a lot of limit theorems for quantum walks with a localized initial state have been repor…
The discrete-time Grover walk on star graphs with one loop
Takuya Machida
This paper has been withdrawn by the author because the result of this paper was already obtained.