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

Quantum Physics 2009-11-10 v1

Abstract

A method for measuring an integral of a classical field via local interaction of a single quantum particle in a superposition of 2^N 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.

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Cite

@article{arxiv.quant-ph/0406024,
  title  = {Measurement of an integral of a classical field with a single quantum particle},
  author = {Lev Vaidman and Amir Kalev},
  journal= {arXiv preprint arXiv:quant-ph/0406024},
  year   = {2009}
}

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3 pages