This last week on Friday I was notified that I'm being scrutinized by the big guys up in corporate for a mistake I made which wasn't fully my fault. Thing is that, since it's a corporation and I'm the little man, they couldn't care in the slightest who's fault it was, only who did it. What I did was simple: the supervisor on duty asked me to log in (they provided their 4 digit pass) and ring someone up on their till/register and I'm on grounds for removal for using another's register. I'll know if I'm going to be removed on Monday or Tuesday but I'm an at-will employee so I have the right to quit at any given time with no warning and no cause.
So what should I do? If I get fired for this reason could I collect unemployment while I go job hunting or would it be better to have quit and go job hunting? I have enough money to go for a few months without a job while looking for a new one. I live in San Diego, CA by the way.