Programmable Quantum Simulations on a Trapped-Ion Quantum Computer with a Global Drive

Simulation of quantum systems is notoriously challenging for classical computers, while quantum hardware is naturally well-suited for this task. However, the imperfections of contemporary quantum systems pose a considerable challenge in carrying out accurate simulations over long evolution times. Here, we experimentally demonstrate a method for quantum simulations on a small-scale trapped-ion-based quantum simulator. Our method enables quantum simulations of programmable spin-Hamiltonians, using only simple global fields, driving all qubits homogeneously and simultaneously. We measure the evolution of a quantum Ising ring and accurately reconstruct the Hamiltonian parameters, showcasing an accurate and high-fidelity simulation. Our method enables a significant reduction in the required control and depth of quantum simulations, thus generating longer evolution times with higher accuracy.