Perfect quantum state transfer on diamond fractal graphs

DOI10.1007/s11128-020-02828-wOpenAlexW3082101464MaRDI QIDQ2681703

Maxim Derevyagin, Gamal Mograby, Gerald V. Dunne, Alexander Teplyaev

Publication date: 3 February 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08668

zbMATH Keywords

quantum channelsspin chainquantum state transferquantum computerhierarchical graphsdiamond fractalHamiltonians with engineered couplings

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Fractals (28A80)

Related Items

Phase transitions of the variety of random-field Potts models, Gaps labeling theorem for the bubble-diamond self-similar graphs, Global Ashkin-Teller phase diagrams in two and three dimensions: multicritical bifurcation versus double tricriticality-endpoint, Block-wise correlations in quantum evolutionary system with pure initial state, Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs, A theorem of Joseph-Alfred Serret and its relation to perfect quantum state transfer, Spectral analysis on Barlow and Evans' projective limit fractals, Hamiltonian systems, Toda lattices, solitons, Lax pairs on weighted Z-graded graphs, Renormalization-group theory of the Heisenberg model in \(d\) dimensions, Spectra of perfect state transfer Hamiltonians on fractal-like graphs

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