Practical advantage of NGQC over dynamical gates in large-scale circuits

Determine whether non-adiabatic geometric quantum computation (NGQC) provides a practical improvement over dynamical gates in large-scale quantum circuits subject to multiple types of errors.

Background

Non-adiabatic geometric quantum computation (NGQC) leverages geometric phases to implement gates that are, in principle, less sensitive to certain control imperfections. Numerous studies have shown NGQC can outperform dynamical gates for specific error types such as Rabi-type errors, but performance may degrade under dephasing noise and in complex, realistic settings.

This paper introduces a universal doubly geometric control (UDOG) framework that analytically constructs gates with high-order suppression of both Rabi and detuning errors. While these results advance robustness at the gate level, the broader question of whether NGQC yields a net practical advantage over dynamical gates in large-scale quantum circuits with multiple error sources remains unresolved and is explicitly stated by the authors.