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Did a quantum computer beat every classical algorithm at signal recovery?

William Hahn, Natalia Romero

May 30, 2026

In nearly 20,000 experiments, a D-Wave quantum annealer found correct solutions in the 'relaxation gap' — a hard zone where the answer mathematically exists but standard optimization can't reach it. At small problem sizes, D-Wave hit 7% exact recovery while every classical method, including the Bayes-optimal benchmark, scored 0%. The likely mechanism: quantum tunneling through shallow false-solution traps that snare classical search. Results are preliminary and don't yet scale to large problems, but the gap is real and statistically significant.
Published as Computational Phase Transitions in Binary Compressed Sensing: Quantum Annealing Inside the Relaxation Gap arXiv:2606.00806
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