Spin Chains, Graphs and State Revival

  title={Spin Chains, Graphs and State Revival},
  author={Hiroshi Miki and Satoshi Tsujimoto and Luc Vinet},
  journal={Orthogonal Polynomials},
Connections between the 1-excitation dynamics of spin lattices and quantum walks on graphs will be surveyed. Attention will be paid to perfect state transfer (PST) and fractional revival (FR) as well as to the role played by orthogonal polynomials in the study of these phenomena. Included is a discussion of the ordered Hamming scheme, its relation to multivariate Krawtchouk polynomials of the Tratnik type, the exploration of quantum walks on graphs of this association scheme and their… 

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