Hybrid physical/logical zero-noise extrapolation with limited logical executions

Abstract:Before full fault tolerance, partially error-corrected logical executions may be available but costly. We formulate zero-noise extrapolation as a statistical-design problem in which the physical/logical execution mode is an extrapolation variable. Logical circuits provide low-noise anchors, while physical folded circuits supply a cheaper noise lever arm. In a calibrated $p_L=\gamma p$ model, we derive Richardson variance prefactors, folded-circuit runtime ratios, optimal shot allocation, and bias--variance criteria. We demonstrate that for $\gamma\lesssim0.1$, the mixed strategy can substantially reduce runtime under the stated resource model.

arXiv:2604.15014 [quant-ph]

(or arXiv:2604.15014v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2604.15014 Focus to learn more arXiv-issued DOI via DataCite

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