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Abstract: We obtain the strongest separation between quantum and classical query complexity known to date|speci cally, we de ne a black-box problem that requires exponentially many queries in the classical bounded-error case, but can be solved exactly in the quantum case with a single query (and a polynomial number of auxiliary operations). The problem is simple to de ne and the quantum algorithm solving it is also simple when described in terms of certain quantum Fourier transforms (QFTs) that have... (Update)
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BibTeX entry: (Update)
@misc{ beaudrap-sharp,
author = "J. Niel de Beaudrap and Richard Cleve and John Watrous",
title = "Sharp Quantum Vs. Classical Query Complexity Separations",
url = "citeseer.ist.psu.edu/481805.html" }
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4 Ecient quantum algorithms for shifted quadratic character pr.. (context) - van Dam, Hallgren - 2000
3 Personal communication (context) - Hallgren - 2001
3 Quantum Fourier transforms for extracting hidden linear stru.. - de Beaudrap, Cleve et al. - 2000
2 The query complexity of order-nding (context) - Cleve - 2000
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