https://doi.org/10.1140/epjp/s13360-022-02826-0
Regular Article
Optimizing incompatible triple quantum measurements
1
School of Sciences, Hangzhou Dianzi Unversity, 310018, Hangzhou, China
2
Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany
3
School of Mathematical Sciences, Capital Normal University, 100048, Beijing, China
Received:
10
February
2022
Accepted:
13
May
2022
Published online:
28
May
2022
We investigate the optimal approximation to triple incompatible quantum measurements within the framework of statistical distance and joint measurability. According to the lower bound of the uncertainty inequality presented in [Physical Review A 99, 312107 (2019)], we give the analytical expressions of the optimal jointly measurable approximation to two kinds of triple incompatible unbiased qubit measurements. We also obtain the corresponding states which give the minimal approximation errors in measuring process. The results give rise to plausible experimental verifications of such statistical distance-based uncertainty relations.
Hui-Hui Qin and Shao-Ming Fei are equally contribution to the work.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
