A strengthened average-case QFT verification condition that controls inter-eigenspace coherences guarantees worst-case correctness of the HHL algorithm in natural settings.
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
A strengthened average-case QFT verification condition that controls inter-eigenspace coherences guarantees worst-case correctness of the HHL algorithm in natural settings.