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20132023
most citedLocalization for a one-dimensional split-step quantum walk with bound states robust against perturbations

26 citations · 45 across the 7 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math-ph2018★ 26 cited

Localization for a one-dimensional split-step quantum walk with bound states robust against perturbations

Toru Fuda, Daiju Funakawa, Akito Suzuki

For given two unitary and self-adjoint operators on a Hilbert space, a spectral mapping theorem was proved in \cite{HiSeSu}. In this paper, as an application of the spectral mappin…

math-ph2018★ 16 cited

Weak limit theorem for a one-dimensional split-step quantum walk

Toru Fuda, Daiju Funakawa, Akito Suzuki

This paper proves a weak limit theorem for a one-dimensional split-step quantum walk and investigates the limit density function. In the density function, the difference between tw…