Aaronson-Ambainis conjecture caps query complexity, not super-polynomial quantum speedups in computation

thomasahle · x · 2026-11-07

thomasahle corrects a common framing: the Aaronson-Ambainis conjecture implies classical algorithms need at most polynomially more queries to an input function — but for factoring, reading the input is easy (linear time). AA says nothing about super-polynomial quantum speedups in the computation itself, so invoking it as a general cap on quantum advantage is misleading.

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