Resolvent Methods for Quantum Walks with an Application to a Thue–Morse Quantum Walk

DOI10.4036/iis.2017.A.04zbMath1470.81041arXiv1704.07328MaRDI QIDQ5147811

Jake Fillman

Publication date: 28 January 2021

Published in: Interdisciplinary Information Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07328

zbMATH Keywords

Thue-Morse sequenceCMV matricesquantum walks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Quantum stochastic calculus (81S25) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

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• Dynamics of unitary operators
• Quantum recurrence of a subspace and operator-valued Schur functions
• Unbounded trace orbits of Thue-Morse Hamiltonian
• The uniform measure for discrete-time quantum walks in one dimension
• WHAT IS...Aperiodic Order?
• One-dimensional quantum walks via generating function and the CGMV method
• Matrix-valued SzegoÌ polynomials and quantum random walks
• Asymptotic evolution of quantum walks with random coin
• Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices
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