Trotter Errors and the Emergence of Chaos in Quantum Simulation 

Kevin W. Kuper,¹ Jon Pajaud,¹ Karthik Chinni,² Pablo Poggi,² and Poul S. Jessen¹

1. Wyant College of Optical Sciences, University of Arizona, Tucson, AZ 85721, USA
2. Center for Quantum Information and Control, Department of Physics and Astronomy,
University of New Mexico, Albuquerque, NM 87131, USA
 

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

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