58 citations · 195 across the 32 of their papers we have counts for
32 papers
A simple model of quantum walk with a gap in distribution
Takuya Machida
Quantum walks are quantum counterparts of random walks and their probability distributions are different from each other. A quantum walker distributes on a Hilbert space and it is…
Phase transition of a continuous-time quantum walk on the half line
Takuya Machida
Quantum walks are referred to as quantum analogs to random walks in mathematics. They have been studied as quantum algorithms in quantum information for quantum computers. There ar…
Limit distribution of a continuous-time quantum walk with a spatially 2-periodic Hamiltonian
Takuya Machida
Focusing on a continuous-time quantum walk on , we analyze a probability distribution with which the quantum walker is observed at a…
Superconductivity near the saddle point in the two-dimensional Rashba system Si(111)--(Tl,Pb)
T. Machida, Y. Yoshimura, T. Nakamura +7
Two-dimensional Rashba superconductor Si(111)--(Tl,Pb) is a candidate platform of mixed spin-singlet and -triplet superconductivity. A recent scanning tunne…
Phase transition of an open quantum walk
Takuya Machida
It has been discovered that open quantum walks diffusively distribute in space, since they were introduced in 2012. Indeed, some limit distributions have been demonstrated and most…
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…