This work explores distribution-robust approaches to weak distillation of quantum resources, addressing uncertainty in input state distribution. The study develops worst-case and average-case robust variants of standard distillation protocols and evaluates their performance against classical simulation baselines and zero-noise extrapolation methods. Empirical analysis shows that distribution-robust protocols provide more reliable fidelity gains.
Key findings
Developed worst-case and average-case robust variants of standard distillation protocols.
Empirical analysis demonstrated more reliable fidelity gains across varying noise levels and input distributions.
Distribution-robust protocols offer practical advantages for near-term quantum devices with state preparation uncertainties.
Limitations & open questions
Additional resource costs incurred by distribution-robust protocols include increased circuit depth, gate count, and measurement overhead.