Entropic Uncertainty Relations for Successive Generalized Measurements

被引:7
|
作者
Baek, Kyunghyun [1 ]
Son, Wonmin [1 ,2 ]
机构
[1] Sogang Univ, Dept Phys, Seoul 121742, South Korea
[2] Univ Oxford, Dept Phys, Parks Rd, Oxford OX1 3PU, England
基金
新加坡国家研究基金会;
关键词
entropic uncertainty relations; successive measurements; unsharpness; disturbance; DISTURBANCE;
D O I
10.3390/math4020041
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We derive entropic uncertainty relations for successive generalized measurements by using general descriptions of quantum measurement within two distinctive operational scenarios. In the first scenario, by merging two successive measurements into one we consider successive measurement scheme as a method to perform an overall composite measurement. In the second scenario, on the other hand, we consider it as a method to measure a pair of jointly measurable observables by marginalizing over the distribution obtained in this scheme. In the course of this work, we identify that limits on one's ability to measure with low uncertainty via this scheme come from intrinsic unsharpness of observables obtained in each scenario. In particular, for the Luders instrument, disturbance caused by the first measurement to the second one gives rise to the unsharpness at least as much as incompatibility of the observables composing successive measurement.
引用
收藏
页数:12
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