Robustly Realizable Quantum Gates
Re-Bing Wu, Gong Cheng · 2025
Robust control of quantum systems against parametric uncertainties is crucial for the practical implementation of quantum technologies. However, whether all gates are robustly realizable, i.e., can be precisely realized against errors, remain not fully understood. This paper investigates the identification of robustly realizable quantum gates from a Lie algebraic perspective. For single-parameter uncertainties, we derive an algebraic criterion that is straightforward to test. Numerical simulations involving single-qubit control systems demonstrate the validity of the proposed criterion.