Isn't there a little law of thermodynamics here about doing work and dissipating energy?
It’s not an area where I’ve followed the subsequent research though. I’d be delighted if someone who knows more chimed in. There are also some obvious advantages for being able to choose precisely when you do a reset and generate your waste heat.
It was thought for some time that they needed be turned to heat, but that's actually untrue. Using quantum gates, it is possible to do an arbitrary classical computation and recycle the anciliary bits.
The textbook I used in my quantum computing class dealt with the subject far better, but unfortunately it's not public yet :/