Unless your seeking work accomodations, your employer has no right to that information. The only exception might be for some government jobs.
I personally have never disclosed my diagnosis to an employer. I've even gotten some level of accomodations just by telling them it works best for my work style.
Don't believe they can't fire you for a disability. If the job description says that the job requires "attention to detail" or a "self starter" they can argue that accomodations aren't possible.