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Dual -1 Hahn polynomials and perfect state transfer

Published 28 Oct 2011 in math-ph, math.CA, math.MP, and quant-ph | (1110.6477v3)

Abstract: We find all the $XX$ spin chains with perfect state transfer (PST) that are connected with the dual -1 Hahn polynomials $R_n(x; \alpha,\beta,N)$. For $N$ odd we recover a model that had already been identified while for $N$ even, we obtain a new system exhibiting PST.

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