ClintMemo's description prodded my memory, and I briefly searched for clarification, but couldn't even understand the wiki article, so I'll just pose this as an "I thought quantum computing meant this" and let someone who understands it better shoot me down:
I thought digital computing was tied to binary (0's and 1's) because there are two electrical states; but quantum computing would be based on the six quark states (up, down, top, bottom, strange, and ...um... Doc). So quantum computers would no longer be digital, per se.
On an unrelated side note, in college, my roommate and I both took an electronic music studio course in order to play with samplers, sequencers, drum machines, etc. He happened to be a much better piano player than I was, despite the fact he is missing his index and middle fingers on his left hand. Most of his music is digital - programmed on synthesizers - but when he plays something himself, he jokes about it being analog due to the missing digits.
And, of course, he always ends up having to explain what "analog" means. (The price uber-geeks pay for our humor.)