Benchmarking Quantum Simulators using Ergodic Quantum Dynamics

• URL: http://arxiv.org/abs/2205.12211v2
• Date: Wed, 16 Aug 2023 17:56:49 GMT
• Title: Benchmarking Quantum Simulators using Ergodic Quantum Dynamics
• Authors: Daniel K. Mark, Joonhee Choi, Adam L. Shaw, Manuel Endres and Soonwon Choi
• Abstract summary: We analyze a sample-efficient protocol to estimate the fidelity between an experimentally prepared state and an ideal state. We numerically demonstrate our protocol for a variety of quantum simulator platforms.
• Score: 4.2392660892009255
• License: http://creativecommons.org/licenses/by/4.0/
• 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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