What are the qualifications for the judicial branch?

Assuming the question refers to Federal Judgeships, there are no formal legal requirements beyond the very basic ones of citizenship and mental competency.

That is, a person WITHOUT any formal legal degree, training, or experience may be appointed to a Federal judgeship. In the past, it was relatively common to appoint people without a formal legal degree to the bench. Nowadays, it generally is considered a required qualification for confirmation to have a law degree, but that isn't a legal requirement. That is, Congress may not approve of the appointment unless the applicant has a legal degree, but that is a may, not a must.