Phys. Rev. A 71, 044303 (2005) [3 pages]

Measurement of an integral of a classical field with a single quantum particle

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Lev Vaidman and Amir Kalev
School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel

Received 3 June 2004; published 19 April 2005

A method for measuring an integral of a classical field via local interaction of a single quantum particle in a superposition of 2N states is presented. The method is as efficient as a quantum method with N qubits passing through the field one at a time and it is exponentially better than any known classical method that uses N bits passing through the field one at a time. A related method for searching a string with a quantum particle is proposed.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.71.044303
DOI: 10.1103/PhysRevA.71.044303
PACS: 03.67.−a, 03.65.Ud, 03.65.Ta

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