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quant-ph2007
Krawtchouk matrices from classical and quantum random walks
Philip Feinsilver, Jerzy Kocik
Krawtchouk's polynomials occur classically as orthogonal polynomials with respect to the binomial distribution. They may be also expressed in the form of matrices, that emerge as a…
quant-ph2007
Krawtchouk polynomials and Krawtchouk matrices
Philip Feinsilver, Jerzy Kocik
Krawtchouk matrices have as entries values of the Krawtchouk polynomials for nonnegative integer arguments. We show how they arise as condensed Sylvester-Hadamard matrices via a bi…