Special Session 49: 

Quantum Walks on Graphs and Spin Networks

Satoshi Tsujimoto
Kyoto University
Japan
Co-Author(s):    Hiroshi Miki and Luc Vinet
Abstract:
Two-dimensional spin lattices exhibiting perfect state transfer and fractional revival are obtained from projection of quantum walks on graphs generalizing the hypercube and belonging to the ordered Hamming scheme. Single excitation eigenfunctions are given in terms of many-variables Krawtchouk polynomials.