论文标题
使用Ergodic量子动力学对量子模拟器进行基准测试
Benchmarking Quantum Simulators using Ergodic Quantum Dynamics
论文作者
论文摘要
我们提出和分析样品效率方案，以估计实验制备的状态与理想目标状态之间的忠诚度，该状态适用于无需先进的复杂时空控制的广泛的模拟量子模拟器。我们的方法利用了新发现的普遍波动，从通用的哈密顿动力学出现，并且不需要对状态准备，量子演变或读数功能进行任何微调控制。它只需要少量的实验测量，实现接近最佳样本复杂性：在理想情况下，使用$ \ sim 10^3 $测量获得了独立于系统大小的$ \ sim 10^3 $测量。此外，我们的保真度估计的准确性随着系统规模的增加而提高。我们从数值上展示了我们的各种量子模拟器平台的协议，例如光学晶格，被困离子和rydberg原子上的巡回粒子。我们讨论了我们方法在高级任务中的进一步应用，例如量子状态和过程的多参数估计。
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.
