most citedThree routes to the exact asymptotics for the one-dimensional quantum walk

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quant-ph2003★ 53 cited

Three routes to the exact asymptotics for the one-dimensional quantum walk

Hilary A. Carteret, Mourad E. H. Ismail, Bruce Richmond

We demonstrate an alternative method for calculating the asymptotic behaviour of the discrete one-coin quantum walk on the infinite line, via the Jacobi polynomials that arise in t…