Well, what you're looking for is a quick start (read: the shortest time between pitching the yeast and seeing activity), but not necessarily a quick fermentation time overall.
The best way to shorten this period, called "lag time", is to use yeast starters. You can do a keyword search for "yeast starters" yourself and get plenty of in-depth info, but basically, they are small amounts of wort made a day or 2 before you brew, the yeast is pitched into them, and by the time your beer wort is ready for yeast, the cell count in the starter will already be at a level so as to minimize lag time. Note that this is only done with liquid yeasts. Dry yeast sachets do not benefit from starters, though you should rehaydrate them in boiled/cooled water for a few hours before pitching.