Well if they, for example, get arrested for something bad, they wouldn’t be employed anymore either.
I hope you do mean “convicted.” Any employer who would fire someone based on arrest (i.e. some idiot cop’s suspicion, not proven in court) deserves to be sued out of existence.
Can’t speak to CA, but I think in many states (incl NY), arrest records are confidential and closed in case of acquittal or dropping of charges. As it should be. Unless it was high-profile enough to make the media, of course, which most arrests are not.
But, in any case, is there any law requiring police to inform employers if someone has been arrested? I think not — that would be a violation of privacy. Assuming someone doesn’t spend more than a night in jail, how would anyone be the wiser?