论文标题
互补测量中的总差异和不变信息
Total variance and invariant information in complementary measurements
论文作者
论文摘要
我们研究了量子状态的总方差,相对于一组互补的测量值及其与Brukner-Zeilinger不变信息的关系。通过将任何一组互无偏测量和一般对称信息完成测量的整体组合求和,我们表明,与此类量子测量类型相关的Brukner-Zeilinger不变信息等于最大方差与获得的总方差之间的差异。这些结果提供了Brukner-Zeilinger不变信息的先前解释之间的操作联系。
We investigate the total variance of a quantum state with respect to a complete set of mutually complementary measurements and its relation to the Brukner-Zeilinger invariant information. By summing the variances over any complete set of mutually unbiased measurements and general symmetric informationally complete measurements respectively, we show that the Brukner-Zeilinger invariant information associated with such types of quantum measurements is equal to the difference between the maximal variance and the total variance obtained. These results provide an operational link between the previous interpretations of the Brukner-Zeilinger invariant information.