There's nothing you can do with a sum that is more information efficient than a single vector.
Two orthogonal polarizations (left- and right-circularly polarized, in your example) will carry twice the information. This technique has already been used for years in fiber optics.

Much cooler would be would be 666.vatican.va

Back in the old days: The MIT AI Lab used Lisp Machines, each one named after a dead rock star. (Each machine had a pic of their namesake.) The machines went forth and multiplied, so the admins ran out of rock stars and resorted to dead actors. Curiously, one machine was named after then-president Reagan, who was not held in the highest esteem. Then one day, the funding agents came through. It's all fun and games until the DoD gets pissed.

Cognition enhancers just make your life more complicated. I'm currently engaged in cognition dehancer research. It's much tastier, too.

Now if only I could get funding for it...