One-shot distillation with constant overhead using catalysts

Nature Communications, Published online: 04 May 2026; doi:10.1038/s41467-026-72686-0 In quantum information processing, distilling pure quantum states from noisy ones in the practical one-shot setting imposes a high overhead. Here, Fang and Liu propose a one-shot distillation scheme that exploits catalysis to arbitrarily reduce distillation overhead, and apply this to magic state distillation to improve over existing results.