Error Mitigation for Analog Quantum Simulators

Analog quantum simulators offer a promising pathway to probe quantum phenomena using intermediate-scale quantum systems. However, like their digital counterparts, these platforms suffer from noisy operations that limit their accuracy and scalability. While error mitigation techniques have been developed primarily for digital quantum computers, their application to certain analog systems remains under-explored due to limited control capabilities. Here, we adapt the Zero Noise Extrapolation (ZNE) technique to address shot-to-shot perturbations of the control Hamiltonian, the dominant noise source in neutral atoms and ion-trap quantum simulation. We experimentally demonstrate this method on trapped ion-based quantum simulations of transverse-field Ising model dynamics, showcasing its effectiveness in extending the lifetime of the dynamics. Numerically, we also show the efficiency of our method in neutral-atom platforms. Crucially, our methods can be implemented without modification of current hardware. This work paves the way for more accurate and scalable quantum simulations across diverse platforms, including trapped ion and neutral atom-based systems, potentially accelerating the exploration of quantum phenomena beyond classical computational limits.