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We report on a Hong-Ou-Mandel (HOM) interference experiment for quantum states with photon numbers per mode as large as 10^6 generated via high-gain parametric down conversion (PDC). The standard technique of coincidence counting leads in this case to a dip with a very low visibility. By measuring, instead of coincidence rate, the variance of the photon-number difference, we observe a peak with 99.99% visibility. From the shape of the peak, one can infer information about the temporal mode structure of the PDC radiation, including the degree of frequency/time entanglement.

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