Spatiotemporal few-photon optical nonlinearities through linear optics and measurement

Physics – Optics

Scientific paper

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Nonclassical States Of The Electromagnetic Field, Including Entangled Photon States, Quantum State Engineering And Measurements, Quantum Information, Nonlinear Optics

Scientific paper

It is well known that optical nonlinearities are extremely weak at the quantum, or single-photon, level. This has been one of the major difficulties for optical implementations of universal, scalable quantum computation.

Knill, Laflamme, and Milburn [Nature (London) 409, 46 (2001)]
showed, among other things, that one could perform the elusive two-qubit logic gates with only linear-optical elements if one also uses extra single photons and measurement. In this work, we apply linear-optics techniques to produce effects in few-photon beams that are more familiar to strong-field nonlinear optics. Specifically, we show that these methods are sufficient to change the spatial (or temporal) properties of a light beam with strong dependence on its constituent number of photons; such phenomena cannot occur via linear optics alone.

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