Franson, J.D.Jacobs, B. C.Pittman, T.B.2020-08-062020-08-062002-08J. D. Franson, B. C. Jacobs, and T. B. Pittman, "Quantum logic operations using linear optical elements," in Nonlinear Optics: Materials, Fundamentals and Applications, A. Sawchuk, ed., Vol. 79 of OSA Trends in Optics and Photonics (Optical Society of America, 2002), paper FA3., https://doi.org/10.1364/NLO.2002.FA3https://doi.org/10.1364/NLO.2002.FA3http://hdl.handle.net/11603/19344Nonlinear Optics: Materials, Fundamentals and Applications 2002, Wailea, Maui, Hawaii United States, OSA Trends in Optics and Photonics (Optical Society of America, 2002), paper FA3 ,29 July–2 August 2002Knill, Laflamme, and Milburn [1] have shown that probabilistic quantum logic operations can be implemented using linear optical elements, such as beam splitters and phase shifters, additional photons (ancilla) and post-selection based on the results of measurements on the ancilla. This may seem somewhat surprising, since logic operations are inherently nonlinear. Here the nonlinearity is produced by the quantum measurement process used in the post-selection. Nonlinearities of this kind are inherently quantum-mechanical and have no classical analogy.3 pagesen-USThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.Text