Almost-Everywhere Superiority for Quantum Computing

Physics – Quantum Physics

Scientific paper

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16 pages

Scientific paper

Simon as extended by Brassard and H{\o}yer shows that there are tasks on
which polynomial-time quantum machines are exponentially faster than each
classical machine infinitely often. The present paper shows that there are
tasks on which polynomial-time quantum machines are exponentially faster than
each classical machine almost everywhere.

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