HHL algorithm achieves provably good worst-case performance assuming only average-case correct QFT, via a strengthened Linden-de Wolf protocol applied across three scenarios.
A trace inequality of John von Neumann.Monatshefte f¨ ur mathematik, 79(4):303– 306
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Worst-case Harrow-Hassidim-Lloyd algorithm with average-case correct quantum Fourier transform
HHL algorithm achieves provably good worst-case performance assuming only average-case correct QFT, via a strengthened Linden-de Wolf protocol applied across three scenarios.