We can settle that now...
[PDF] Physical limits to computation: http://puhep1.princeton.edu/~mcdonald/examples/QM/lloyd_natu...
Eye: http://www.eurekalert.org/pub_releases/2006-07/uops-prc07260...
So if the eye does 10 million bits/sec & the 1 kg ultimate computer does 10^51 oper/sec on 10^31 bits, I think there's a good chance a Bayesian superintelligence can do it.
That computer may not be buildable, & you might have instruments with somewhat more bits/sec, but there's a LOT of room to work with.