Investigating Device and Trotter Error Resilience of Quantum Zeno Monte Carlo with Large-Scale NISQ Simulation

In this work, we investigate the device and Trotter error resilience of the Quantum Zeno Monte Carlo (QZMC) method, applying it to large-scale NISQ (Noisy Intermediate-Scale Quantum) simulations. QZMC, a classical-quantum hybrid algorithm, demonstrates significant robustness against both device noise and Trotter errors, making it well-suited for both the current NISQ era and the rapidly developing early fault-tolerant quantum computing era. We establish the method’s resilience through both mathematical analysis and numerical experiments. Finally, we apply QZMC to large-scale NISQ simulations, showcasing its ability to compute Hamiltonian eigenstate properties with reduced quantum circuit depth and high accuracy, even in the presence of the device noise and trotter errors. These results highlight QZMC’s potential as a powerful tool for advancing quantum simulations on near-term quantum devices.