Perfect quantum state transfer in weighted paths with potentials (loops) using orthogonal polynomials

DOI10.1080/03081087.2018.1442810zbMath1411.81073arXiv1708.03283OpenAlexW2963837063MaRDI QIDQ4632268

Sarah Plosker, Darian McLaren, Rajesh Pereira, Xiao-Hong Zhang, Stephen J. Kirkland

Publication date: 29 April 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03283

zbMATH Keywords

orthogonal polynomialsquantum state transferperfect state transferenergy potentialweighted paths

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Signed and weighted graphs (05C22) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

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Perfect quantum state transfer on diamond fractal graphs, Spectra of perfect state transfer Hamiltonians on fractal-like graphs

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