论文标题
基于量子系统中标准偏差之和的多观察不确定性平等
Multi-observable Uncertainty Equality based on the sum of standard deviations in the qubit system
论文作者
论文摘要
我们基于量子系统中的标准偏差之和，构建了多观察不确定性平等以及不平等。获得的平等表明不确定性关系可以更准确地表达，也可以用于检测系统的混合性。同时，新的不确定性不等式可以提供更紧密的下限，即使在开放系统中，紧密度也可以保持高水平。此外，不确定性关系的不足，即使对于两个不兼容的可观察物，产品形成不确定性关系的下限也可能是无效的，可以通过新的不确定性关系完全固定。
We construct a multi-observable uncertainty equality as well as an inequality based on the sum of standard deviations in the qubit system. The obtained equality indicates that the uncertainty relation can be expressed more accurately, and also can be used to detect the mixedness of the system. Meanwhile, the new uncertainty inequality can provide a tighter lower bound, and the tightness can be maintained at a high level even in an open system. Furthermore, the deficiency of the uncertainty relation, that the lower bound of the product form uncertainty relations can be null even for two incompatible observables, can be completely fixed by the new uncertainty relation.
