Experimental investigation of joint measurement uncertainty relations for three incompatible observables at a single-spin level | Zendy

K. Rehan | Zendy; Taiping Xiong | Zendy; L.-L. Yan | Zendy; F. Zhou | Zendy; J.-W. Zhang | Zendy; J. C. Li | Zendy; Liang Chen | Zendy; Wanli Yang | Zendy; Mang Feng | Zendy

Open Access

Experimental investigation of joint measurement uncertainty relations for three incompatible observables at a single-spin level

Author(s) -

K. Rehan,

Taiping Xiong,

L.-L. Yan,

F. Zhou,

J.-W. Zhang,

J. C. Li,

Liang 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.

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