I've started reading some quantum computing texts, and dabbled a bit with IBM's quantum computing experience, and this is where I get stuck:

I can follow the basics at the level of "gates" or circuits -- a lot of what's out there is essentially quantum assembly language or something of that sort.

But what about interfacing classical and quantum computing? Is the idea that you just run something from start to finish on a quantum computer? Or that you take the output from a classical system and input into a quantum system?

Some of the things I'd be most interested in with a quantum computer seem to require an interface with a classical computer, or at least raise the issue, which generally isn't addressed by these sorts of pieces. It's sort of assumed that you're programming whatever it is you're interested in at the level of machine/assembly code.