BA's sole A380 has
not been flying any long-haul passenger sectors (yet).
For the past week it has been doing either one or two LHR-FRA-LHR rotations daily on the BA902/903 and/or BA910/911.
The exception was on Saturday 03/08, when it didn't fly at all. Whether it will fly tomorrow or not I don't know, but if it does then see above.