Experimental investigation of measurement incompatibility of mutually unbiased bases

Autor: Yu Guo, Shuming Cheng, Xiao-Min Hu, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Chip, Vol 2, Iss 1, Pp 100041- (2023)
Druh dokumentu: article
ISSN: 2709-4723
DOI: 10.1016/j.chip.2023.100041
Popis: Incompatible measurements are of fundamental importance to revealing the peculiar features of quantum theory, and are also useful resources in various quantum information tasks. In this work, we investigate the quantum incompatibility of mutually unbiased bases (MUBs) within the operational framework of quantum resource theory, and report an experimental validation via the task of state discrimination. In particular, we construct an experimentally friendly witness to detect incompatible MUBs, based on the probability of correctly discriminating quantum states. Furthermore, we prove that the noise robustness of MUBs can be retrieved from violating the above witness. Finally, we experimentally test the incompatibility of MUBs of dimensionality ranging from 2 to 4, and demonstrate that it is more robust to noise, as either the dimensionality of measurements or the number of MUBs increases. Our results may aid the exploration of the essential roles of incompatible measurements in both theoretical and practical applications in quantum information.
Databáze: Directory of Open Access Journals