论文标题
普遍的不确定性原则
The Generalized Uncertainty Principle
论文作者
论文摘要
不确定性原理在于量子物理学的核心，被广泛认为是对不兼容可观察到的测量精度的基本限制。在这里，我们表明，传统的不确定性关系实际上属于广义不确定性关系的主要顺序近似。也就是说，可观察到的领先顺序线性依赖性给出了海森堡类型的不确定性关系，而高阶非线性依赖性可能会揭示更多不同且有趣的相关性能。还讨论了量子信息科学中可观察到的广义不确定性关系和高阶非线性依赖性的应用。
The uncertainty principle lies at the heart of quantum physics, and is widely thought of as a fundamental limit on the measurement precisions of incompatible observables. Here we show 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.
