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

Published 28 Oct 2011 in math-ph, math.CA, math.MP, and quant-ph | (1110.6475v3)

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

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