"However, current computers operate at only 100-10,000 times this limit, forming an argument
that historical rates of efficiency scaling must soon slow. "-(2016)A Path Toward Ultra-Low-Energy Computing -source
Yet efficiency continues to increase, research in the lab is testing designs that could go very near the landauer limit. Such computers, as I've stated previously, will be here within decades at most.
Unless the brain uses exotic physics it is very unlikely to escape this limit, thus the nature of its function would be computational, and there would be severe limit on the number of computations performed. It is said the brain uses only 20W, but some have suggested only about 10W goes directly towards computation. This suggests that if we take the higher pessimistic estimate and pessimistically assume the brain operates at the exact landauer limit(it may be near but probably does not exactly reach it), it may be that it performs 10,000 times the amount of computation as a 10W computer of today's highest efficiency.
Yet within the near future, we will have computers that approach the landauer limit, but have 1000+W available. and in institutions Megawatt+ available.
Koomey's law describes a long-term trend in the history of computing hardware. The number of computations per joule of energy dissipated has been doubling approximately every 1.57 years. -wiki
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