University of Surrey's 5G Innovation Centre have announced that they managed to transmit at 1TB per second on a wireless 5G connection.
this was carried out in the University's ground over a distance of 100m. report do not give the conditions of the test i.e. weather,power of transmission and size of antenna used. This however is a leap in the right direction that should allow instant access to media content on mobile devices.
More info BBC V3 Website