58 citations · 195 across the 32 of their papers we have counts for
Showing 2015 · quant-phShow all
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quant-ph2015★ 17 cited
Localization and limit laws of a three-state alternate quantum walk on a two-dimensional lattice
Takuya Machida, C. M. Chandrashekar
A two-dimensional discrete-time quantum walk (DTQW) can be realized by alternating a two-state DTQW in one spatial dimension followed by an evolution in the other dimension. This w…
quant-ph2015
A localized quantum walk with a gap in distribution
Takuya Machida
Quantum walks behave differently from what we expect and their probability distributions have unique structures. They have localization, singularities, a gap, and so on. Those feat…
quant-ph2015★ 4 cited
A limit law of the return probability for a quantum walk on a hexagonal lattice
Takuya Machida
A return probability of random walks is one of the interesting subjects. As it is well known, the return probability strongly depends on the structure of the space where the random…