The Witten index for 1D supersymmetric quantum walks with anisotropic coins
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Publication:2677534
DOI10.1007/S11128-019-2485-1OpenAlexW2919781946WikidataQ126830789 ScholiaQ126830789MaRDI QIDQ2677534
Publication date: 5 January 2023
Published in: Quantum Information Processing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.00559
Applications of operator theory in the physical sciences (47N50) Quantum stochastic calculus (81S25) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (9)
Asymptotic stability of small bound state of nonlinear quantum walks ⋮ A constructive approach to topological invariants for one-dimensional strictly local operators ⋮ Discrete-time quantum walk algorithm for ranking nodes on a network ⋮ Supersymmetry for chiral symmetric quantum walks ⋮ An index theorem for split-step quantum walks ⋮ Index theory of chiral unitaries and split-step quantum walks ⋮ An index theorem for one-dimensional gapless non-unitary quantum walks ⋮ The Witten index for one-dimensional split-step quantum walks under the non-Fredholm condition ⋮ Unitary equivalence classes of split-step quantum walks
Cites Work
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- The staggered quantum walk model
- Asymptotic velocity of a position-dependent quantum walk
- Generator of an abstract quantum walk
- Unitary equivalent classes of one-dimensional quantum walks
- Spectral and asymptotic properties of Grover walks on crystal lattices
- Relativistic effects in quantum walks: Klein's paradox and Zitterbewegung
- Index theory of one dimensional quantum walks and cellular automata
- Localization of an inhomogeneous discrete-time quantum walk on the line
- One-dimensional discrete-time quantum walks on random environments
- Topological invariance of the Witten index
- Partition-based discrete-time quantum walks
- Quantum walks with an anisotropic coin. I: Spectral theory
- Localization of a multi-dimensional quantum walk with one defect
- The topological classification of one-dimensional symmetric quantum walks
- Quantum walks with an anisotropic coin. II: Scattering theory
- Topological phenomena in quantum walks: elementary introduction to the physics of topological phases
- Limit measures of inhomogeneous discrete-time quantum walks in one dimension
- On the hitting times of quantum versus random walks
- Quantum random walks in one dimension
- Supersymmetry for chiral symmetric quantum walks
- Relativistic effects and rigorous limits for discrete- and continuous-time quantum walks
- Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics
- Localization for a one-dimensional split-step quantum walk with bound states robust against perturbations
- Analysis on Fock Spaces and Mathematical Theory of Quantum Fields
- Quantum walks induced by Dirichlet random walks on infinite trees
- Continuous limits of linear and nonlinear quantum walks
- One-dimensional quantum walks
- Weak limit theorem for a one-dimensional split-step quantum walk
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