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arXiv · 2205.12211

Benchmarking Quantum Simulators using Ergodic Quantum Dynamics

Daniel K. Mark·Joonhee Choi·Adam L. Shaw·Manuel Endres·Soonwon Choi
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Abstract

We propose and analyze a sample-efficient protocol to estimate the fidelity between an experimentally prepared state and an ideal target state, applicable to a wide class of analog quantum simulators without advanced sophisticated spatiotemporal control. Our approach utilizes newly discovered universal fluctuations emerging from generic Hamiltonian dynamics, and it does not require any fine-tuned control over state preparation, quantum evolution, or readout capability. It only needs a small number of experimental measurements, achieving near optimal sample complexity: in ideal cases, a percent-level precision is obtained with $\sim 10^3$ measurements independent of system size. Furthermore, the accuracy of our fidelity estimation improves with increasing system size. We numerically demonstrate our protocol for a variety of quantum simulator platforms such as itinerant particles on optical lattices, trapped ions, and Rydberg atoms. We discuss further applications of our method for advanced tasks such as multi-parameter estimation of quantum states and processes.

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Daniel K. Mark, Joonhee Choi, Adam L. Shaw, Manuel Endres, Soonwon Choi. 2022-05-24. Benchmarking Quantum Simulators using Ergodic Quantum Dynamics. https://doi.org/10.1103/physrevlett.131.110601

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