Self-Testing of a Single Quantum System: Theory and Experiment
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 t...
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| creator | Xiao-Min, Hu Xie, Yi Atul Singh Arora Ming-Zhong, Ai Bharti, Kishor Zhang, Jie Wu, Wei Ping-Xing, Chen Jin-Ming, Cui Bi-Heng, Liu Yun-Feng, Huang Chuan-Feng, Li Guo, Guang-Can Roland, Jérémie Cabello, Adán Leong-Chuan Kwek |
| description | 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. |
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| subjects | Lower bounds Orthogonality Quantum theory Self testing Self tests Statistical tests Test procedures |
| title | Self-Testing of a Single Quantum System: Theory and Experiment |
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