A spectral analysis of discrete-time quantum walks related to the birth and death chains

DOI10.1007/s10955-018-1998-9zbMath1392.82050arXiv1706.01005OpenAlexW2793701773WikidataQ130185498 ScholiaQ130185498MaRDI QIDQ1637381

Kentaro Takumi, Norio Konno, Yusuke Ide, Choon-Lin Ho, Etsuo Segawa

Publication date: 8 June 2018

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01005

zbMATH Keywords

Krawtchouk polynomialsquantum walkbirth and death chainEhrenfest model

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Quantum stochastic calculus (81S25) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Exactly solvable discrete time birth and death processes ⋮ Eigenvalues of quantum walk induced by recurrence properties of the underlying birth and death process: application to computation of an edge state

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