Unitary equivalence classes of split-step quantum walks
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Publication:2099591
DOI10.1007/s11128-021-03323-6OpenAlexW3213089405MaRDI QIDQ2099591
Hiromichi Ohno, Akihiro Narimatsu, Kazuyuki Wada
Publication date: 24 November 2022
Published in: Quantum Information Processing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.13529
Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (4)
An index theorem for one-dimensional gapless non-unitary quantum walks ⋮ \(n\)-qubit operations on sphere and queueing scaling limits for programmable quantum computer ⋮ The Witten index for one-dimensional split-step quantum walks under the non-Fredholm condition ⋮ Spectral mapping theorem of an abstract non-unitary quantum walk
Cites Work
- Unnamed Item
- Generator of an abstract quantum walk
- Unitary equivalent classes of one-dimensional quantum walks
- Unitary equivalence classes of one-dimensional quantum walks. II
- Localization of a multi-dimensional quantum walk with one defect
- The topological classification of one-dimensional symmetric quantum walks
- Quantum walks: a comprehensive review
- Topological phenomena in quantum walks: elementary introduction to the physics of topological phases
- Parameterization of translation-invariant two-dimensional two-state quantum walks
- Unitary equivalence of quantum walks
- A constructive approach to topological invariants for one-dimensional strictly local operators
- Supersymmetry for chiral symmetric quantum walks
- The Witten index for 1D supersymmetric quantum walks with anisotropic coins
- An index theorem for split-step quantum walks
- Parameterization of quantum walks on cycles
- Localization for a one-dimensional split-step quantum walk with bound states robust against perturbations
- Weak limit theorem for a one-dimensional split-step quantum walk
- Quantum walks and search algorithms
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