Quantum Complexity of Parametric Integration

Physics – Quantum Physics

Scientific paper

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Paper submitted to the Journal of Complexity, 28 pages

Scientific paper

We study parametric integration of functions from the class
C^r([0,1]^{d_1+d_2}) to C([0,1]^{d_1}) in the quantum model of computation. We
analyze the convergence rate of parametric integration in this model and show
that it is always faster than the optimal deterministic rate and in some cases
faster than the rate of optimal randomized classical algorithms.

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