A note on the discrete-time evolutions of quantum walk on a graph
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Publication:2923306
zbMath1301.81066arXiv1207.4987MaRDI QIDQ2923306
Yusuke Higuchi, Iwao Sato, Etsuo Segawa, Norio Konno
Publication date: 15 October 2014
Full work available at URL: https://arxiv.org/abs/1207.4987
Sums of independent random variables; random walks (60G50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum stochastic calculus (81S25) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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Phase measurement of quantum walks: application to structure theorem of the positive support of the Grover walk ⋮ A remark on zeta functions of finite graphs via quantum walks ⋮ Ruelle zeta functions for finite digraphs ⋮ Quantum walks defined by digraphs and generalized Hermitian adjacency matrices ⋮ Quantum walks ⋮ Periodicity of the Discrete-time Quantum Walk on a Finite Graph ⋮ The quaternionic second weighted zeta function of a graph and the Study determinant ⋮ A quantum walk induced by Hoffman graphs and its periodicity ⋮ Periodicity of Grover walks on generalized Bethe trees ⋮ A zeta function related to the transition matrix of the discrete-time quantum walk on a graph ⋮ Periodicities of Grover walks on distance-regular graphs
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