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A comment on Ask HN: What scientific phenomenon do you wish someone would explain better?. Parent comment

Re:Ask HN: What scientific phenomenon do you wish someone wo... by skosch on Monday April 27, 2020 @01:22AM (#22993102)
Many problems require lots of huge matrix multiplications—think simulations of physical systems, i.e. weather systems or molecular interactions, or numerical optimization.
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Re:Ask HN: What scientific phenomenon do you wish someone wo... by TJSomething on Monday April 27, 2020 @03:35AM (#22993738)
Additionally, many problems are can be converted to matrix operations, like graph algorithms.

Note that matrix multiplication takes O(n^2) time with a quantum computer, but O(n^2.807) time on a classical computer.

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Re:Ask HN: What scientific phenomenon do you wish someone wo... by gnu-nobody on Monday April 27, 2020 @04:28AM (#22993997)
> but O(n^2.807) time on a classical computer

Optimizing matrix multiplication for classical computers is an open research problem, and according to wikipedia there are algorithms with O(n^2.37) running time. Also according to wikipedia, it is not proven that matrix multiplication can't be done in O(n^2).

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Re:Ask HN: What scientific phenomenon do you wish someone wo... by infogulch on Monday April 27, 2020 @05:09AM (#22994209)
Ah yes, we may as well add NP-completeness to this thread.
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