It's hard to know what to count as "global compute". How many bit operations do we count for the clock propagation across your CPU? Two for each clock cycle per buffer? Even though the bit operation is just identity, or do we omit that? Does it change if you use inverting buffers, since NOT is a nontrivial operation? Did you know that in CMOS a normal buffer is made out of two inverters? Can you do twice as many bit operations just by using buffers that are half as big, so that you have to use twice as many? How about DRAM destructive read and refresh cycles? Do you count the bit operations in the TLB CAM and the caches to test if entries are already present? Then going to a higher associativity, like from two-way to four-way, doubles the bit operation count.
For power consumption I think the answer to all of these is "yes", except for the one where you split the clock buffers in half.
How about DNA replication in bacterial cells? Is that two bit operations per base? My pot of yogurt is 4 kg of mostly Lactobacillus casei, with a genome of about 2 million base pairs, 4 megabits, and a generation time of about 30 minutes, 2 kilobits per second of reproductive copying per bacterium, plus presumably a much higher transcription rate into mRNA. Each bacterium is about 5 cubic microns, so there are about 10¹⁴ bacteria in the pot, so about 10¹⁷ bit operations per second for reproduction, and maybe 10¹⁹ for mRNA, wildly guessing. That would make the pot of yogurt millions of times more computationally powerful than my CPU, though only for a few hours. Fortunately, the bacteria are more energy-efficient than AMD, or the yogurt would be exploding.
But none of those operations can be used directly for cracking a key, because they aren't programmable. What the paper says is sensible, because it's comparing two things that are very much alike. Even though you can't use Bitcoin mining ASICs for key cracking, you can build very similar key cracking ASICs for a very similar cost and energy consumption. But things get very vague when you start trying to quantify all compute.
Presumably "global compute" in this context refers to activities of similar complexity carried out with digital electronic devices that produce a similarly useful output. Obviously bitcoin is some fraction of global compute; it's interesting to wonder what the (approximate) total might be.
For power consumption I think the answer to all of these is "yes", except for the one where you split the clock buffers in half.
How about DNA replication in bacterial cells? Is that two bit operations per base? My pot of yogurt is 4 kg of mostly Lactobacillus casei, with a genome of about 2 million base pairs, 4 megabits, and a generation time of about 30 minutes, 2 kilobits per second of reproductive copying per bacterium, plus presumably a much higher transcription rate into mRNA. Each bacterium is about 5 cubic microns, so there are about 10¹⁴ bacteria in the pot, so about 10¹⁷ bit operations per second for reproduction, and maybe 10¹⁹ for mRNA, wildly guessing. That would make the pot of yogurt millions of times more computationally powerful than my CPU, though only for a few hours. Fortunately, the bacteria are more energy-efficient than AMD, or the yogurt would be exploding.
But none of those operations can be used directly for cracking a key, because they aren't programmable. What the paper says is sensible, because it's comparing two things that are very much alike. Even though you can't use Bitcoin mining ASICs for key cracking, you can build very similar key cracking ASICs for a very similar cost and energy consumption. But things get very vague when you start trying to quantify all compute.