Physics

Self-testing of a single quantum system from theory to experiment

X. Hu, Y. Xie, et al.

This research conducted by Xiao-Min Hu, Yi Xie, Atul Singh Arora, and others unveils an innovative approach to self-testing individual quantum systems using contextuality, presenting breakthroughs that do not rely on entanglement. By employing the KCBS inequality for qutrits, it sets a new standard in fidelity assessment of quantum states, showcased through experimental demonstrations with a trapped ion.

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Abstract

Self-testing allows for the characterization of quantum systems with minimal assumptions. Existing methods rely on quantum nonlocality, limiting their application to entangled systems. This research introduces a robust method for self-testing individual systems using contextuality, based on the Klyachko-Can-Binicioğlu-Shumovsky (KCBS) inequality for qutrits. A lower bound on the fidelity of the state and measurements is established, and the method is experimentally demonstrated using a single trapped <sup>40</sup>Ca<sup>+</sup> ion with random measurements and perfect detection efficiency.

Publisher

npj Quantum Information

Published On

Oct 19, 2023

Authors

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

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