Theoretically, 2 days is enough to become infectious.
But practically, I doubt that people are infectious until after a week is up.
Like it was said above, recently infected people are most infectious, because that is when the viral load is at the highest.
based on these two repsonses it sounds like this might be a good question, not a clear answer so far....or does it matter?
Minimun two or three days at least will take the virus to replicate and appear in body fluids in infectious quant. The mean could be 7 days.
I believe you are considered infectious minutes after becoming infected yourself. A person is considered most infectious 3-4 weeks after contracting the virus, before the immune system has had time to launch a fight.