Road map for a faster spaceship New Horizons, speediest yet, is currently running at about 15 km/sec relative to the sun.  What is the roadmap for future ? How is it possible to reach much faster speeds ?
Here's a Wikipedia page discussing various theoretical methods of propulsion. It has some very interesting ideas.

The one that piqued my interest was the Alcubierre drive. For all intents and purposes it is a warp drive - well, as close as science can get to the fictional engine of The Enterprise anyway. It has been nicknamed the warp drive, I believe, by NASA scientists.