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The distance dependence of the probability of observing two photons in awaveguide is investigated. The Glauber correlation functions of the entangledphotons in waveguides are considered and the spatial and temporal dependence ofthe correlation functions is evaluated. We derive upper bounds to the distancedependence of the probability of observing two photons. These inequalitiesshould be possible to observe in experiments.

Bounds for the Distance Dependence of Correlation Functions of Entangled Photons in Waveguides