Less precise but less noisy: local circuits for momentum-space state preparation and measurement
The study compared two methods for preparing and measuring momentum states: the Fermionic Fourier Transform (FFT) and adiabatic evolution. Findings show that for larger systems, adiabatic evolution outperforms FFT on noisy hardware because its lower momentum resolution leads to less error propagation. The paper also proposes a new measurement scheme called MDLM, which is less precise but significantly reduces noise sensitivity.