Head Squeeze tells it in simple words: Einstein’s relativity theory tells us that, if we travel at 99.5% the speed of light, we will tavel forwards in time with about 10 minutes for every minute. Now that is something.
The time travel is possible due to time dilation predicted by the relativity theory of Einstein. If reference systems move at different speeds then the time flows different in each of these systems. In any case, Einsteins physics, coupled with quantum physics are really strange. It is said that using wormholes we can travel back in time.
In each of these cases, forwards in time or backwards in time, we would need an absurd amount of energy. Best is if we word on quantum computers instead, ok?