论文标题
经典阴影的量子状态特性的实验估计
Experimental Estimation of Quantum State Properties from Classical Shadows
论文作者
论文摘要
高维量子系统的完整量子断层扫描在实验上是不可行的，这是由于对系统中Qubits数量所需的测量数量的指数缩放。但是，最近提出了一些想法，以预测这些状态的功能数量有限，或者估算了运营商的期望值，而无需进行全州重建。这些想法以阴影断层扫描的一般名称进行。在这里，我们根据[H.-Y. Huang，R。Kueng，J。Preskill。纳特。物理。 https://doi.org/10.1038/s41567-020-0932-7（2020）]，研究其在具有高维空间态的量子光学实验中的性能。我们在实验数据中显示，该过程在有限数量的测量中表现出在保真度估计中的传统状态重建。
Full quantum tomography of high-dimensional quantum systems is experimentally infeasible due to the exponential scaling of the number of required measurements on the number of qubits in the system. However, several ideas were proposed recently for predicting the limited number of features for these states, or estimating the expectation values of operators, without the need for full state reconstruction. These ideas go under the general name of shadow tomography. Here we provide an experimental demonstration of property estimation based on classical shadows proposed in [H.-Y. Huang, R. Kueng, J. Preskill. Nat. Phys. https://doi.org/10.1038/s41567-020-0932-7 (2020)] and study its performance in the quantum optical experiment with high-dimensional spatial states of photons. We show on experimental data how this procedure outperforms conventional state reconstruction in fidelity estimation from a limited number of measurements.
