Modifying quantum walks: a scattering theory approach

DOI10.1088/1751-8113/40/37/011zbMath1128.82008arXiv0705.4612OpenAlexW2101637756MaRDI QIDQ5310041

Mark Hillery, Edgar A. Feldman

Publication date: 5 October 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.4612

zbMATH Keywords

scatteringquantum algorithmsEulerian graphsdiscrete-time quantum walkstransmission amplitudes

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Quantum computation (81P68) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Applications of graph theory to circuits and networks (94C15)

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Asymptotic properties of generalized eigenfunctions for multi-dimensional quantum walks ⋮ Analytical solutions for quantum walks on 1D chain with different shift operators ⋮ A dynamical system induced by quantum walk ⋮ Quantum Walks ⋮ A simple method for finding the scattering coefficients of quantum graphs ⋮ Perfect state transfer by means of discrete-time quantum walk on complete bipartite graphs ⋮ A comfortable graph structure for Grover walk ⋮ Electric circuit induced by quantum walk ⋮ Simulating continuous-time Hamiltonian dynamics by way of a discrete-time quantum walk ⋮ Quantum walks: a comprehensive review ⋮ Generalized eigenfunctions for quantum walks via path counting approach ⋮ Comfortable place for quantum Walker on finite path ⋮ An encryption protocol for NEQR images based on one-particle quantum walks on a circle

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