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

zbMath1438.47023arXiv1804.05125MaRDI QIDQ5197893

Daiju Funakawa, Akito Suzuki, Toru Fuda

Publication date: 1 October 2019

Full work available at URL: https://arxiv.org/abs/1804.05125

zbMATH Keywords

scattering theoryquantum walksweak limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Scattering theory of linear operators (47A40)

Related Items (9)

A constructive approach to topological invariants for one-dimensional strictly local operators ⋮ Localization for a one-dimensional split-step quantum walk with bound states robust against perturbations ⋮ The Witten index for 1D supersymmetric quantum walks with anisotropic coins ⋮ A weak limit theorem for a class of long-range-type quantum walks in 1d ⋮ An index theorem for split-step quantum walks ⋮ An index theorem for one-dimensional gapless non-unitary quantum walks ⋮ Spectral mapping theorem of an abstract non-unitary quantum walk ⋮ Dispersive estimates for quantum walks on 1D lattice ⋮ Unitary equivalence classes of split-step quantum walks

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