# Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer

@article{Vinet2011ParaKrawtchoukPO, title={Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer}, author={Luc Vinet and Alexei S. Zhedanov}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2011}, volume={45} }

Analogues of Krawtchouk polynomials defined on a bi-lattice are introduced. They are shown to provide a (novel) spin chain with perfect transfer. Their characterization, as well as their connection to the quadratic Hahn algebra, is given.

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