Descriptor drive? I'm afraid that's impossible, no matter how much computing power you have. You simply cannot know where all (or any) particles are - the Heisenberg Uncertainty Principle makes it impossible.
You may want to take a look at traversable wormholes - in certain circumstances they could theoretically allow "faster than light" travel without breaking any laws of physics. Here's a link you may find useful:
Link You need to get a traversable wormhole that doesn't violate causality, or the whole thing comes undone.
I'd also like to put in a good word for torchships. They are not FTL at all, but rather accelerate to the half-way point between the start- and end-points, turn around, and decelerate the rest of the way. This allows a ship with enough thrust to get up to a significant fraction of C. Not only would this be
very fast, at relativistic speeds time dilation takes effect and the elapsed time for the travellers will appear shorter than it actually is. Again, no laws of physics are violated.
Link