Readit NewsDumb question:
Say I have a wooden stick and I break it in half in less than a second. Assume a computer would need several minutes to simulate everything that would've happened in the stick. I clearly got the output faster than a computer (and with more precision), so does this imply I'm doing anything particularly fascinating?
I assume the same scenario is possible to concoct for a quantum computer. I assume it wouldn't be particularly interesting either. So what are the criteria for distinguishing those scenarios from the "interesting" cases? And how do we know which case this one is like?
Not a dumb question!
There is a great video by the mathematician Richard Borcherds on this exact objection to current examples of quantum supremacy.
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If you have a measure of correctness, and a measure of performance. Is there a maximum value of correctness per some unit of processing that exists below a full matrix multiply
Obviously it can be done with precision, since that is what floating point is. But is there anything where you can save x% of computation and have fewer than x% incorrect values in a matrix multiplications?
Gradient descent wouldn't really care about a few (Reliably) dud values.