An infinite family of circulant graphs with perfect state transfer in discrete quantum walks

DOI10.1007/s11128-019-2483-3OpenAlexW2982672004WikidataQ126975202 ScholiaQ126975202MaRDI QIDQ2677519

Hanmeng Zhan

Publication date: 5 January 2023

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

Full work available at URL: https://arxiv.org/abs/1707.06703

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Random walks on graphs (05C81) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (13)

Periodicity of quantum walks defined by mixed paths and mixed cycles ⋮ Pretty good state transfer in discrete-time quantum walks ⋮ Perfect state transfer in Grover walks between states associated to vertices of a graph ⋮ Quantum state transfer on the complete bipartite graph ⋮ Factoring discrete-time quantum walks on distance regular graphs into continuous-time quantum walks ⋮ Perfect edge state transfer on abelian Cayley graphs ⋮ A high-fidelity quantum state transfer algorithm on the complete bipartite graph ⋮ Perfect edge state transfer on cubelike graphs ⋮ Abstract model of continuous-time quantum walk based on Bernoulli functionals and perfect state transfer ⋮ Combinatorial necessary conditions for regular graphs to induce periodic quantum walks ⋮ Perfect quantum state transfer on Cayley graphs over dicyclic groups ⋮ Perfect state transfer on abelian Cayley graphs ⋮ Pretty good state transfer on Cayley graphs over dihedral groups

Cites Work

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