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A novel optical method for distinguishing chiral molecules is proposed andvalidated within a quantum simulator employing a trapped-ion qudit. Thisapproach correlates the sign disparity of the dipole moment of chiral moleculeswith distinct cyclic evolution trajectories, yielding the unity populationcontrast induced by the different non-Abelian holonomies corresponding to thechirality. Harnessing the principles of holonomic quantum computation (HQC),our method achieves highly efficient, non-adiabatic, and robust detection andseparation of chiral molecules. Demonstrated in a trapped ion quantumsimulator, this scheme achieves nearly 100% contrast between the twoenantiomers in the population of a specific state, showcasing its resilience tothe noise inherent in the driving field.

Discrimination of Chiral Molecules through Holonomic Quantum Coherent Control