Theres a photo on the wikipedia page Quantum Entanglement there's a image of a photon being split into two entangled photons via crystal. I used this picture to demonstrate the scenario below.
Spontaneous parametric down-conversion process can split photons into type II photon pairs with mutually perpendicular polarization.
Below I have a picture of a photon beam getting split into two entangled photons. These entangled photons are being split again to create two 2 sets of entangled photons. Is this possible? Is it possible to create two entangled photos from an already entangled photon?
If this is possible, I'm wondering what the relationship the children of an entangled photon and it's cousins, and the relationship if child to aunt / uncle particle. I'm curious toward the behavior of the spin relation between a family of entangled particles.
Im interested in a notion where all particles in the universe are more hierarchically related then we think.