Anonymous at Sun, 13 Oct 2024 02:16:56 UTC No. 16423981

Not too sure honestly.

Anonymous at Sun, 13 Oct 2024 12:10:14 UTC No. 16425560

>>16419988
Bifurcation theory, and dynamical systems and chaos in general, has essentially nothing to do with quantum computing device research.
Dynamical systems are interesting because they have complex behavior despite being low dimensional (few variables)
Quantum computing, both in theory and devices, is about many-body systems (large number of variables, many quantum bits), where the complexity is unsurprising
There is also a subfield of "quantum chaos" that super-sucks. There is in fact an old quantum chaos, about non-integrability of energy levels, which was demonstrated in some laser systems in the 1990s.
Then the modern quantum chaos is based on "out-of-time-ordered correlators" or Loschmidt echo and it is mostly sheep-types that use their "OTOCs" to "diagnose chaos" for no particular reason (they are following Kitaev's OTOC calculation in the SYK model to illustrate quantum chaos in black holes, which was genius but didn't so many uninspired followers)
Bottom line is that chaos theory / nonlinear dynamics is in the least important 10% of math to learn for quantum anything, imo

Anonymous at Sun, 13 Oct 2024 12:50:38 UTC No. 16426423

>>16419988
Chaos theory is a pet peeve. It shows you that you need to account for strong uncertainties and that infinite precision is futile. You don't need chaos theory at all beyond understanding why you fail in your design choices. It won't show you a way to fix things.

Anonymous at Sun, 13 Oct 2024 13:11:03 UTC No. 16426804

>>16419988
You have a nice theory to lazily apply to AI and get your six figures starting income.