Analytic ``Newton's cradles with perfect transfer and fractional revival

DOI10.1016/j.aop.2022.168790zbMath1487.81049arXiv2108.09386OpenAlexW4210620183MaRDI QIDQ832567

Hugo Schérer, Alexei Zhedanov, Luc Vinet

Publication date: 25 March 2022

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

Full work available at URL: https://arxiv.org/abs/2108.09386

zbMATH Keywords

perfect state transferfractional revivalmass-spring chainpara-Racah polynomials

Mathematics Subject Classification ID

Quantum computation (81P68) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Radiative transfer in astronomy and astrophysics (85A25) Quantum coherence, entanglement, quantum correlations (81P40) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Quantum gates (81P65)

Related Items (1)

A classical model for perfect transfer and fractional revival based on \(q\)-Racah polynomials

Cites Work

• The para-Racah polynomials
• Inverse eigenvalue problems associated with spring-mass systems
• Quantum spin chains with fractional revival
• Persymmetric Jacobi matrices with square-integer eigenvalues and dispersionless mass-spring chains
• A test matrix for an inverse eigenvalue problem
• Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials
• An analytic spin chain model with fractional revival
• Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer
• PERFECT, EFFICIENT, STATE TRANSFER AND ITS APPLICATION AS A CONSTRUCTIVE TOOL
• Properties of the Eigenvectors of Persymmetric Matrices with Applications to Communication Theory
• Perfect state transfer in a spin chain without mirror symmetry

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