Revisiting Uncertainty Relation via Random Observables

被引：0
作者：
Lin Zhang
Yanjun Jiang
Laizhen Luo
Yangping Jing
机构：
[1] Hangzhou Dianzi University,Institute of Mathematics
[2] Harbin University of Science and Technology,Department of Mathematics
来源：
International Journal of Theoretical Physics | 2021年 / 60卷
关键词：
Uncertainty relation; Random observable; Gaussian Unitary Ensemble (GUE); Wishart ensemble;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The purpose of this paper is to give a perspective about the Robertson-Schrödinger uncertainty relation via random observables instead of random quantum state in this relation. Specifically, we randomize two observables by choosing them from Gaussian Unitary Ensemble (GUE) and Wishart ensemble, respectively, with a fixed quantum state, and then calculate the average of difference between uncertainty-product and its lower bound in the Robertson-Schrödinger uncertainty relation. Then we consider such average how distribute as to that given quantum state. By doing so, we can figure out how the gap between uncertainty-product and its lower bound becomes larger when increasing the dimensions.
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页码：2473 / 2487
页数：14
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