Robust high-order quantum simulation using finite-width pulses

We present a general framework for converting a given low-order pulse sequences for quantum simulation into a high-order pulse sequence that is robust against finite pulse-width effects. By establishing a mapping between arbitrary pulse sequences and first-order Trotter-Suzuki formulas, our method enables systematic construction of unitary operations that achieve high-order error scaling in total evolution time. This is then translated back into a new sequence of physically implementable, finite-width pulses, such that the sequence is robust against finite-width pulse effects. This mapping also facilitates direct applications of advanced Trotter techniques including multi-product formulas and randomized Trotter formulas for more efficient quantum simulation. Our method is compatible with any control functions as long as all pulse operations are generated using the same form of control function. We demonstrate through numerical simulations how our framework enhances existing pulse sequences, originally developed for low-order simulation of physically motivated models such as Ising, cross-resonance, and Heisenberg models, to achieve higher-order error scaling while maintaining robustness.