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For those who may not be aware -- As always in these situations: Scott Aronson said it first! For reference, here's the highly amusing and interesting paper he
by benten10 10y ago
For those who may not be aware --
As always in these situations: Scott Aronson said it first!
For reference, here's the highly amusing and interesting paper he's written on this:
"NP-complete Problems and Physical Reality"
http://www.scottaaronson.com/papers/npcomplete.pdf http://www.scottaaronson.com/papers/npcomplete.pdf
Abstract:
"Can NP-complete problems be solved efficiently in the physical universe? I survey proposals
including soap bubbles, protein folding, quantum computing, quantum advice, quantum adiabatic
algorithms, quantum-mechanical nonlinearities, hidden variables, relativistic time dilation,
analog computing, Malament-Hogarth spacetimes, quantum gravity, closed timelike curves, and
“anthropic computing.” The section on soap bubbles even includes some “experimental” results.
While I do not believe that any of the proposals will let us solve NP-complete problems
efficiently, I argue that by studying them, we can learn something not only about computation
but also about physics."
- dogecoinbase 10y agoA favorite example of mine, using photons to solve Traveling Salesman in quadratic time: https://www.osapublishing.org/oe/abstract.cfm?id=140598 https://www.osapublishing.org/oe/abstract.cfm?id=140598 Spoiler: the number of photons required scales up so quickly that the phenomenon cannot be observed for sufficiently high N.