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As noisy intermediate-scale quantum (NISQ) processors increase in size andcomplexity, their use as general purpose quantum simulators will rely onalgorithms based on the Trotter-Suzuki expansion. We run quantum simulations ona small, highly accurate quantum processor, and show how one can optimizesimulation accuracy by balancing algorithmic (Trotter) errors against nativeerrors specific to the quantum hardware at hand. We further study the interplaybetween native errors, Trotter errors, and the emergence of chaos as seen inmeasurements of a time averaged fidelity-out-of-time-ordered-correlator

Trotter Errors and the Emergence of Chaos in Quantum Simulation