It's the same beard. Picture is from the new series six trailer. Coincidence? Yeah. Probably.
Sorry, my mind couldn't rest until I had done a comparison post. When I saw the new Doctor Who trailer all I could think was "With that beard Matt Smith looks like Anderson in the unaired pilot of Sherlock." The lanky hair helps too I believe. I really should be doing something more productive with my winter break- though I have been writing quite a bit and working on material for the spring Forensic Speech tournaments.