I've always thought, at least to the layperson, that the basis for FTL travel and FTL communication were tackled very well by the space based MMO Eve Online.
From Eve's science articles:
"So what is the elusive answer to FTL travel? It was found through advanced research in the field of quantum electrodynamics. By creating depleted vacuum, that is, vacuum as found in space but completely stripped of all energy, and then expanding this depleted vacuum to envelop a ship, the ship is capable of moving faster than light through this bubble of depleted vacuum. A depleted vacuum bubble is more than frictionless – it is so anti-friction that things (including light) actually move faster in it than they would in complete vacuum."
And for FTL communication:
"The roots of the solution lay in an ancient paradox, often called the EPR paradox, the name shrouded in mystery. The EPR paradox is famous for contradicting quantum physics in some very important ways. Specifically it shows another old physics theory, the Heisenberg Uncertainty Principle, to be untrue. The Heisenberg Uncertainty Principle, believed to be named after a place or a person, affirms that the exact state of quantum particle cannot be determined with full accuracy, no matter how refined the measurement equipment is. The classical example being the measurement of the velocity and position of a free particle: to be able to measure the position of a particle you must be able to 'see' it. This means that you have to illuminate it at least with one photon. But the collision between the photon and the particle changes the velocity of the particle, thus making it impossible to determine what the velocity was before the position was measured."
http://www.eveonline.com/background/communication/comm_02.asp It's a fun read.
As I said above, to the layperson, this stuff sounds pretty cool and seems "realistic". At least they have some clever authors.