The first steps towards interstellar travel have been taken, but the stars are very far away. Voyager 1 is about 17 light-hours distant from Earth and is traveling with a velocity of 0.006 percent of light speed, meaning it will take about 17,000 years to travel one light-year. Fortunately, the elusive "warp drive" now appears to be evolving past difficulties with new theoretical advances and a NASA test rig under development to measure artificially generated warping of space-time.
NASA has developed a new test rig in the quest for the elusive warp drive.
The warp effect uses gravitational effects to compress the spacetime in front of a spacecraft, then expand the spacetime behind it. The bit of spacetime within the warp bubble is flat, so that the spacecraft would float at zero-g along the wave of compressed and expanded spacetime. The net effect is rather like surfing, where you are nearly stationary with respect to the wave, but are traveling with the speed of the wave. Whereas many of the theoretical studies consider a warp bubble moving at ten times the speed of light, there is no known limit to the potential speed.
Via Szabolcs Kósa