Very interesting video, but a pity he went in to all that detail to end with a figure as vague as "1 terabyte in a few hundredths of a second".

If "a few" is 5 we'd get 20 Tbytes/s, if a few is 50 we'd get 2 Tbytes/s.

From wikipedia it seems optical fibre bandwidth is also limited by distance, due to dispersion, but current experimental research results are approaching 100 Terabit/s over a single channel.
(26Tbit/s in 2011, 73.7 Tbit/s in 2013)
http://en.wikipedia.org/wiki/Fiber-optic_communication#Parameters

100 Terabit/s is 12.5 Terabyte/s, which is 1 Terabyte in 0.08 seconds.

So while it still doesn't tell us what the theoretical limit is, for our currently achievable maximum speeds "a few" is 8.