论文标题
参数化的多观察总和不确定性关系
Parameterized Multi-observable Sum Uncertainty Relations
论文作者
论文摘要
不确定性原理是量子力学的基本特征之一，在量子信息理论中起着至关重要的作用。我们研究了基于任意有限$ n $量子可观察物的差异的不确定性关系。我们根据参数化的规范不平等建立了一系列参数化的不确定性关系，这改善了基于差异的不确定性关系。除非测得的状态是所有可观察到的常见特征向量，否则我们不确定性不平等的下限是非零的。提供了详细的例子来说明我们不确定性关系的紧密性。
The uncertainty principle is one of the fundamental features of quantum mechanics and plays an essential role in quantum information theory. We study uncertainty relations based on variance for arbitrary finite $N$ quantum observables. We establish a series of parameterized uncertainty relations in terms of the parameterized norm inequalities, which improve the exiting variance-based uncertainty relations. The lower bounds of our uncertainty inequalities are non-zero unless the measured state is a common eigenvector of all the observables. Detailed examples are provided to illustrate the tightness of our uncertainty relations.
