单自旋水平下三个不相容可观测量的联合测量不确定关系的实验研究。

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

作者信息

Rehan K, Xiong T P, Yan L-L, Zhou F, Zhang J W, Li J C, Chen L, Yang W L, Feng M

出版信息

Opt Express. 2020 Aug 31;28(18):25949-25968. doi: 10.1364/OE.401337.

Abstract

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 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.

摘要

根据布施、拉蒂和维尔纳的提议，我们首次探索了反映1927年海森堡提出的原始精神的三个不相容可观测量的联合测量以及不确定性关系的验证。我们首先从理论上推导误差权衡关系，然后利用捕获在简谐势中的单个超冷钙离子展示联合测量的首个实验证据。此外，我们报告称，与两个可观测量的情况不同，牺牲三个可观测量中任何一个的精度，其余两个可观测量仍可被测量到极限精度。