Abstract

We propose a scheme to achieve a uniform cross-phase modulation (XPM) for two nonclassical light pulses and study its application for quantum nondemolition measurements of the photon number in a pulse and for controlled phase gates in quantum information. We analyze the scheme by quantizing a common phenomenological model for classical XPM. Our analysis first treats the ideal case of equal XPM and pure unitary dynamics. This establishes the groundwork for more-complicated studies of nonunitary dynamics and difference in phase shifts between the two pulses where decohering effects severely affect the performance of the scheme.

© 2010 Optical Society of America

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