Performing Quantum Measurement in Suitably Entangled States Originates the Quantum Computation Speed Up

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We introduce a local concept of speed-up applicable to intermediate stages of a quantum algorithm. We use it to analyse the complementary roles played by quantum parallel computation and quantum measurement in yielding the speed-up. A severe conflict between there being a speed-up and the many worlds interpretation is highlighted.
21 pages, RevTex, separate page of figures. With respect to a former work of the same title, the "strong" nondeterministic character of quantum computation is emphasized; a severe conflict between there being a speed-up and the many worlds interpretation is highlighted

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