Perfect state transfer, integral circulants, and join of graphs

@article{AngelesCanul2010PerfectST,
  title={Perfect state transfer, integral circulants, and join of graphs},
  author={Richardo J. Angeles-Canul and Rachael M. Norton and Michael Opperman and Christopher C. Paribello and Matthew C. Russell and Christino Tamon},
  journal={Quantum Information & Computation},
  year={2010},
  volume={10},
  pages={325-342}
}
We propose new families of graphs which exhibit quantum perfect state transfer. Our constructions are based on the join operator on graphs, its circulant generalizations, and the Cartesian product of graphs. We build upon the results of Bašić et al. [5, 4] and construct new integral circulants and regular graphs with perfect state transfer. More specifically, we show that the integral circulant ICGn({2, n/2b} ∪Q) has perfect state transfer, where b ∈ {1, 2}, n is a multiple of 16 and Q is a… CONTINUE READING
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