so you need a lot of correlated quantum randomness to flip one of them.
If it happens by quantum vibrations that's true, but our brains aren't perfect, and the state they go into is somewhat random. There is a reasonable chance of becoming depressed, to the point that it's actually happened in this universe many times over.
From David Deutsch's The Beginning of Infinity:
I'm not so sure we have the computing power to "simulate a person," but suppose we did. (Perhaps we will soon.) How would you respond to this worry?