Weak Limit Theorem of a Two-phase Quantum Walk with One Defect

DOI10.4036/iis.2016.R.01zbMath1453.62406arXiv1412.4309MaRDI QIDQ5135267

Shimpei Endo, Etsuo Segawa, Takako Endo, Norio Konno, Masato Takei

Publication date: 19 November 2020

Published in: Interdisciplinary Information Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4309

zbMATH Keywords

weak convergencegenerating functionquantum probabilitytopological insulatorasymptotic behavior of the quantum walk

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Central limit and other weak theorems (60F05) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (11)

An eigenfunction expansion formula for one-dimensional two-state quantum walks ⋮ Localization for a one-dimensional split-step quantum walk with bound states robust against perturbations ⋮ A weak limit theorem for a class of long-range-type quantum walks in 1d ⋮ Quantum walks with an anisotropic coin. I: Spectral theory ⋮ Eigenvalues of two-phase quantum walks with one defect in one dimension ⋮ Quantum walks ⋮ Absence of wave operators for one-dimensional quantum walks ⋮ Generalized eigenfunctions and scattering matrices for position-dependent quantum walks ⋮ Dispersive estimates for quantum walks on 1D lattice ⋮ Strongly trapped space-inhomogeneous quantum walks in one dimension ⋮ Detection of edge defects by embedded eigenvalues of quantum walks

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• ONE-DIMENSIONAL QUANTUM WALKS WITH ONE DEFECT
• Search by Quantum Walks on Two-Dimensional Grid without Amplitude Amplification
• Quantum Walks

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