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arXiv 2203.09003quant-phphysics.atom-ph
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单量子系统的自测试:理论与实验

Self-Testing of a Single Quantum System: Theory and Experiment

Xiao-Min Hu, Yi Xie, Atul Singh Arora, Ming-Zhong Ai, Kishor Bharti, Jie Zhang, Wei Wu, Ping-Xing Chen, Jin-Ming Cui, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li… 展开作者

Xiao-Min Hu, Yi Xie, Atul Singh Arora, Ming-Zhong Ai, Kishor Bharti, Jie Zhang, Wei Wu, Ping-Xing Chen, Jin-Ming Cui, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Jérémie Roland, Adán Cabello, Leong-Chuan Kwek

摘要:

以最少的假设来验证单个量子设备对于量子技术的发展至关重要。在这里,我们研究如何利用单系统上下文来实现自测试。我们开发了一个强大的自我测试协议的基础上最简单的上下文见证最简单的上下文量子系统,Klyachko-Can-Biniciopluslu-Shumovsky(KCBS)不等式的qutrit。我们建立了一个下界的保真度的状态和测量(一个理想的配置)作为一个函数的价值的证人下一个务实的假设,我们称之为KCBS正交条件的测量。我们在一个实验中应用的方法与随机选择的测量一个单一的陷阱$^{40}{\rm Ca}^+$和接近完美的检测效率。观察到的统计数据使我们能够对系统进行自我测试,并提供了单个系统量子自我测试的第一个实验演示。此外,我们量化和报告,偏离我们的假设是最小的,一个方面以前忽略了上下文实验。

英文摘要:

Certifying individual quantum devices with minimal assumptions is crucial for the development of quantum technologies. Here, we investigate how to leverage single-system contextuality to realize self-testing. We develop a robust self-testing protocol based on the simplest contextuality witness for the simplest contextual quantum system, the Klyachko-Can-Binicioğlu-Shumovsky (KCBS) inequality for the qutrit. We establish a lower bound on the fidelity of the state and the measurements (to an ideal configuration) as a function of the value of the witness under a pragmatic assumption on the measurements we call the KCBS orthogonality condition. We apply the method in an experiment with randomly chosen measurements on a single trapped $^{40}{\rm Ca}^+$ and near-perfect detection efficiency. The observed statistics allow us to self-test the system and provide the first experimental demonstration of quantum self-testing of a single system. Further, we quantify and report that deviations from our assumptions are minimal, an aspect previously overlooked by contextuality experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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