The on-set video, released through SplashNewsOnline, was shot during last weekend's filming and sees Cumberbatch and Quinto's Spock battling in front of a green screen and wind machine.
Director JJ Abrams is also seen in the footage talking his stars through the sequence. The presence of an IMAX camera suggests that portions of the science fiction sequel will be shot on the large-screen format.
Quinto, Chris Pine, Zoe Saldana, Simon Pegg, John Cho, Karl Urban and Anton Yelchin reprise their roles from 2009's Star Trek reboot, while Noel Clarke, Alice Eve and Nazneen Contractor are new additions to the cast.
The untitled Star Trek sequel will be released in 3D and conventional cinemas in May 2013.