There's a problem with your answer choices. Both choices indicate it's wrong.
There are people who are able to keep it 'professional' at work and then, there are psychos who can't. It's fine as long as you are able to make that distinction.
I worked at a company that had 50,000 people working at one location. There it was fine. When I was working for a company that had 20 people working at one location it got ugly when we broke up.
Anyway, bad idea......well, I mean, unless you want everyone else to know what you did on your date. Enjoy.
There are people who are able to keep it 'professional' at work and then, there are psychos who can't. It's fine as long as you are able to make that distinction.