Dear Asrar,
If you are considering a cross beam at right angles then two sets of pair production at (orthogonal projection) will have (1/2)*(1/2) probability of pairwise correlation due to the factorisation of velocity and gravity of upconversion and (1/2)*(1/2) probability of down conversion which means that there will be resonance in heat and light at the crossing as predicted by String Theory + Law of Special Relativity + Fractal Geometry. If however the beams are superimposed there will be added quantum correlation which will merge the quantum states as predicted by classical optics. If however there are multiple photon states in each beam there will be a positive probability of an equilibrium beam with correlated states but under the influence of gravity with nonlinear curvature there will be energy annihilation and destruction of some of the correlated states by infinity cancellation in terms of quantum down polarisation or absorption at reflecting barriers. This extends the Schroedinger interaction picture Please refer to my Haag's Theorem paper on my RG page. I hope you will gather some information from what I have said. SKM QC
That largely depends on how well is the number of photons defined. If it's exactly N photons, then many techniques that can be used with a pair of photons can also be extended to an N-photon state. However if the number of photons is undefined, then different approaches need to be used, for example squeezed light methods:
https://en.wikipedia.org/wiki/Squeezed_coherent_state
What you mean by PDC state? In quantum mechanics PDC is the short form for Parametric Down-Conversion. Now, Parametric Down-Conversion is a process, not a state. So, please formulate your question in clear words, without short forms that can have different meanings.
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