Open AccessExperimental investigation of joint measurement uncertainty relations for three incompatible observables at a single-spin level
Author(s) -
K. Rehan,
Taiping Xiong,
L.-L. Yan,
Fei Zhou,
J. W. Zhang,
J. C. Li,
L. Chen,
Wanli Yang,
Mang Feng
Publication year - 2020
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.401337
Subject(s) - observable , physics , uncertainty principle , joint (building) , spin (aerodynamics) , harmonic potential , theoretical physics , statistical physics , optics , quantum mechanics , thermodynamics , architectural engineering , engineering , quantum
In the light of the Busch, Lathi and Werner proposal, we explore, for the first time, the joint measurements and confirmation of uncertainty relations for three incompatible observables that reflect the original spirit proposed by Heisenberg in 1927. We first develop the error trade-off relations theoretically and then demonstrate the first experimental witness of joint measurements using a single ultracold 40 Ca + ion trapped in a harmonic potential. In addition, we report, that in contrast to the case of two observables, scarifying accuracy of any one of the three observables the rest of two can be measured with ultimate accuracy.