The movie's official Twitter account posted the photo of Cumberbatch, looking frazzled and sweaty in suspenders, in front of what appears to be the computer that broke the famous Enigma code used by Germany during World War II.
Turing, who went to help develop computers at the University of Manchester after the war, was convicted in 1952 of gross indecency after engaging in homosexual relations. He was hormonally castrated and lost his job. Two years later, Turing committed suicide by ingesting cyanide.
Over 60 years after his conviction, Turing given the highly rare and unusual pardon by the queen.
"The Imitation Game" also stars Keira Knightley, Matthew Goode, Charles Dance, and Mark Strong, and has no official release date yet.