The Generalized Uncertainty Principle,Annalen Der Physik

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The Generalized Uncertainty Principle
Annalen Der Physik ( IF 2.2 ) Pub Date : 2020-11-27 , DOI: 10.1002/andp.202000335
Jun‐Li Li _{1,

2} , Cong‐Feng Qiao _{2,

3}

Affiliation

The uncertainty principle lies at the heart of quantum physics, and is widely thought of as a fundamental limit of the measurement precision of incompatible observables. Here it is shown that the traditional uncertainty relation in fact belongs to the leading order approximation of a generalized uncertainty relation. That is, the leading order linear dependence of observables gives the Heisenberg type of uncertainty relations, while higher order nonlinear dependence may reveal more different and interesting correlation properties. Applications of the generalized uncertainty relation and the high order nonlinear dependence between observables in quantum information science are also discussed.

中文翻译：

广义不确定原理

不确定性原理是量子物理学的核心，并被广泛认为是不兼容观测值测量精度的基本限制。在这里表明传统的不确定性关系实际上属于广义不确定性关系的前导近似。也就是说，可观察物的前导线性相关性给出了Heisenberg类型的不确定性关系，而更高阶的非线性相关性可能揭示了更多不同和有趣的相关特性。还讨论了广义不确定性关系和可观测物之间的高阶非线性相关性在量子信息科学中的应用。

更新日期：2021-01-12

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