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With the emerging possibility to obtain emissions of triples of GHZ-entangledphotons via a direct parametric generation we study here bright emissions ofthis kind which involve higher order emissions of two triples, three triples,etc. Such states would constitute a natural generalization of the four mode(two beams plus polarization) squeezed vacuum. We have three beam process ofemission generalized bright GHZ states, which a are superpositions of one, two,three, and so on GHZ entangled triples of photons. We show how to avoidtechnical difficulties related with straight ahead generalization of the usualdescription of parametric down conversion. Using Pade approximation we turnfirst terms of the non-converging perturbation expansion into elements ofconversing series. This allows us to study non-classicality of the new brightgeneralized GHZ states.

Non-classicality of bright GHZ-like radiation of an optical parametric source