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On The Power of Exact Quantum Polynomial Time

Gilles Brassard, Peter Hoyer

quant-pharXiv:quant-ph/9612017

Abstract

We investigate the power of quantum computers when they are required to return an answer that is guaranteed correct after a time that is upper-bounded by a polynomial in the worst case. In an oracle setting, it is shown that such machines can solve problems that would take exponential time on any classical bounded-error probabilistic computer.

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