If you're going to do this, you might want to look into using a commercial electric door strike (this is what they are called); something that is proven to function over the long haul, and is designed for remote lock/unlock of a door. If you build something like this on your own, there's a chance that you could run into problems down the road causing you to be locked out of your house due to a premature mechanical failure. That isn't to say that a commercial door strike can't fail, just that they have been designed and tested for the purpose.
With that said, if you wanted to avoid the cost (and installation) of a commercial door strike, the next best thing would be to use and/or modify one of the home electric keypad deadbolts that you can find at many home building centers (Lowes, Home Depot, etc). If that doesn't work for you, then you'll have to go homebrew with either some form of high-power solenoid, or a gear motor (and all the mechanical and electrical "complexity" that will entail).
Ultimately, whatever you build you want to be as robust as possible, otherwise you might be looking at a visit from a locksmith (or a rock thru the window) just to get back into your house due to a failure.