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arXiv 0909.5683quant-phcs.CC
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Quantum interpolation of polynomials

Daniel M. Kane, Samuel A. Kutin

英文摘要:

We consider quantum interpolation of polynomials. We imagine a quantum computer with black-box access to input/output pairs (x_i, f(x_i)), where f is a degree-d polynomial, and we wish to compute f(0). We give asymptotically tight quantum lower bounds for this problem, even in the case where 0 is among the possible values of x_i.

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