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Phys. Rev. A 68, 042314 (2003) [11 pages]

Conditional linear-optical measurement schemes generate effective photon nonlinearities

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G. G. Lapaire1, Pieter Kok2, Jonathan P. Dowling2, and J. E. Sipe1
1Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, Canada M5S 1A7
2Quantum Computing Technologies Group, Section 367, Jet Propulsion Laboratory, California Institute of Technology, Mail Stop 126-347, 4800 Oak Grove Drive, Pasadena, California 91109, USA

Received 26 May 2003; published 14 October 2003

We provide a general approach for the analysis of optical state evolution under conditional measurement schemes, and identify the necessary and sufficient conditions for such schemes to simulate unitary evolution on the freely propagating modes. If such unitary evolution holds, an effective photon nonlinearity can be identified. Our analysis extends to conditional measurement schemes more general than those based solely on linear optics.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.68.042314
DOI: 10.1103/PhysRevA.68.042314
PACS: 03.67.Lx, 42.50.-p, 42.65.-k

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