A weak limit theorem for a class of long-range-type quantum walks in 1d
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Publication:2677537
DOI10.1007/s11128-019-2491-3OpenAlexW2983677035WikidataQ126786233 ScholiaQ126786233MaRDI QIDQ2677537
Publication date: 5 January 2023
Published in: Quantum Information Processing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.10362
Central limit and other weak theorems (60F05) Applications of functional analysis in quantum physics (46N50) Scattering theory of linear operators (47A40)
Related Items (4)
A constructive approach to topological invariants for one-dimensional strictly local operators ⋮ Absence of singular continuous spectra and embedded eigenvalues for one-dimensional quantum walks with general long-range coins ⋮ An index theorem for one-dimensional gapless non-unitary quantum walks ⋮ Spectral mapping theorem of an abstract non-unitary quantum walk
Cites Work
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- Asymptotic velocity of a position-dependent quantum walk
- Generator of an abstract quantum walk
- Unitary equivalent classes of one-dimensional quantum walks
- New expressions for the wave operators of Schrödinger operators in \(\mathbb R^3\)
- On the relationship between continuous- and discrete-time quantum walk
- Localization of an inhomogeneous discrete-time quantum walk on the line
- New formulae for the wave operators for a rank one interaction
- From quantum cellular automata to quantum lattice gases
- Quantum walks with an anisotropic coin. I: Spectral theory
- Unitary equivalence classes of one-dimensional quantum walks. II
- Localization of a multi-dimensional quantum walk with one defect
- Quantum walks with an anisotropic coin. II: Scattering theory
- Quantum walks: a comprehensive review
- Weak limit theorem for a nonlinear quantum walk
- Absence of wave operators for one-dimensional quantum walks
- Detection of edge defects by embedded eigenvalues of quantum walks
- Resonant-tunneling in discrete-time quantum walk
- Quantum random walks in one dimension
- A new type of limit theorems for the one-dimensional quantum random walk
- ONE-DIMENSIONAL QUANTUM WALKS WITH ONE DEFECT
- Spectral stability of unitary network models
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- Localization for a one-dimensional split-step quantum walk with bound states robust against perturbations
- Weak Limit Theorem of a Two-phase Quantum Walk with One Defect
- One-dimensional quantum walks
- Weak limit theorem for a one-dimensional split-step quantum walk
- Limit Theorems for Discrete-Time Quantum Walks on Trees
- \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
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