You will want to wait until the grout is cured to clean the haze left on the tiles. You can begin your haze cleaning as early as 24 hours after grout is dry up to 10 days after. It is not a good idea to wait longer than 10 days as it will make the job much harder.
Likewise, when can you mop a newly tiled floor?
It is best to wait at least 72 hours before mopping a newly grouted floor to make sure the grout has a chance to cure completely. This also allows enough time for the adhesive substances on new tiles to cure.