How can I sort photons by spin?

[jartsa]

I want to split a photon beam with no net angular momentum into two beams in both of which the sum of photon spins is not zero.

 

[jfizzix]

A polarizing beamsplitter will separate an unpolarized beam into two beams, one vertically polarized, and one horizontal. By using quarter wave plates in each arm, you can turn the horizontally polarized light into right-circular polarization, and the vertically polarized light into left-circular polarization. The input beam would have no net angular momentum, and the output beams would have spin not equal to zero.