Traub, Joseph F.; Wozniakowski, Henryk - Santa Fe Institute - 2001
We study path integration on a quantum computer that performs quantum summation. We assume that the measure of path … least Lipschitz. We prove: 1. Path integration on a quantum computer is tractable. 2. Path integration on a quantum computer … integration is Gaussian, with the eigenvalues of its covariance operator of order j^{-k} with k>1. For the Wiener measure …