My theory on how this would work is that say you have the physics set up to produce tacyon particles. Then you have a network that you know they will follow at superluminal speeds. Would they interact (that is tacyons interact with tacyons)through that network? Then when the network is finished its calculation.
it would have to interact with a stream of newly created tacyons particles because those that are already calculating would be impossible to tell when they where finished. Those finished calculations would then interact at a somewhat random time when finished calculation, true given calculation of superluminal velocities you would be able to calculate aprox how long things should take.