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Theory of the Quantum Speed Up

Giuseppe Castagnoli, David Ritz Finkelstein

quant-pharXiv:quant-ph/0010081

Abstract

Insofar as quantum computation is faster than classical, it appears to be irreversible. In all quantum algorithms found so far the speed-up depends on the extra-dynamical irreversible projection representing quantum measurement. Quantum measurement performs a computation that dynamical computation cannot accomplish as efficiently.

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