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Towards the standardization of quantum state verification using optimal strategies
npj Quantum Information ( IF 7.6 ) Pub Date : 2020-10-27 , DOI: 10.1038/s41534-020-00317-7
Xinhe Jiang , Kun Wang , Kaiyi Qian , Zhaozhong Chen , Zhiyu Chen , Liangliang Lu , Lijun Xia , Fangmin Song , Shining Zhu , Xiaosong Ma

Quantum devices for generating entangled states have been extensively studied and widely used. As so, it becomes necessary to verify that these devices truly work reliably and efficiently as they are specified. Here we experimentally realize the recently proposed two-qubit entangled state verification strategies using both local measurements (nonadaptive) and active feed-forward operations (adaptive) with a photonic platform. About 3283/536 number of copies (N) are required to achieve a 99% confidence to verify the target quantum state for nonadaptive/adaptive strategies. These optimal strategies provide the Heisenberg scaling of the infidelity \({\it{\epsilon }}\) as a function of N (\({\it{\epsilon }}\sim N^{r}\)) with the parameter r = −1, exceeding the standard quantum limit with r = −0.5. We experimentally obtain the scaling parameters of r = 0.88 ± 0.03 and 0.78 ± 0.07 for nonadaptive and adaptive strategies, respectively. Our experimental work could serve as a standardized procedure for the verification of quantum states.



中文翻译:

使用最佳策略实现量子态验证的标准化

用于产生纠缠态的量子器件已经被广泛研究和广泛使用。因此,有必要验证这些设备是否确实可靠,有效地工作。在这里,我们通过光子平台使用局部测量(非自适应)和主动前馈操作(自适应),通过实验实现了最近提出的两比特纠缠状态验证策略。需要约3283/536的拷贝数(N)才能获得99%的置信度,以验证非自适应/自适应策略的目标量子态。这些最优策略提供了不忠\({\ it {\ epsilon}} \)的Heisenberg缩放作为N\({\ it {\ epsilon}} \ sim N ^ {r} \)的函数)的参数r  = -1,超过标准量子极限的r  = -0.5。我们分别通过实验得出了非自适应和自适应策略的缩放参数r  =  0.88±0.03和 0.78±0.07。我们的实验工作可以用作验证量子态的标准程序。

更新日期:2020-10-28
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