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Phys. Rev. Lett. 88, 137901 (2002) [4 pages]

Implementation of Quantum Search Algorithm using Classical Fourier Optics

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N. Bhattacharya, H. B. van Linden van den Heuvell, and R. J. C. Spreeuw*,†
Van der Waals–Zeeman Institute, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands

Received 4 October 2001; published 12 March 2002

We report on an experiment on Grover's quantum search algorithm showing that classical waves can search a N-item database as efficiently as quantum mechanics can. The transverse beam profile of a short laser pulse is processed iteratively as the pulse bounces back and forth between two mirrors. We directly observe the sought item being found in N iterations, in the form of a growing intensity peak on this profile. Although the lack of quantum entanglement limits the size of our database, our results show that entanglement is neither necessary for the algorithm itself, nor for its efficiency.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.137901
DOI:
10.1103/PhysRevLett.88.137901
PACS:
03.67.Lx, 42.25.-p, 42.30.Kq

*Email address: spreeuw@science.uva.nl

Electronic address: http://www.science.uva.nl/research/aplp/