论文标题
混合状态的高阶不确定性界限
Higher-order uncertainty bounds for mixed states
论文作者
论文摘要
与混合态密度矩阵统一家族相关的参数估计的不确定性下限是通过嵌入平方根密度矩阵希尔伯特空间中的密度矩阵空间来获得的。在希尔伯特空间设置中，不确定性的度量是由第二种偏斜信息给出的，而不确定性下限是由与可观察到的共轭的Wigner-yanase偏斜信息给出的。对不确定性下限的高阶校正由高阶量子偏斜矩确定。这些时刻的表情以封闭形式制定。
Uncertainty lower bounds for parameter estimations associated with a unitary family of mixed-state density matrices are obtained by embedding the space of density matrices in the Hilbert space of square-root density matrices. In the Hilbert-space setup the measure of uncertainty is given by the skew information of the second kind, while the uncertainty lower bound is given by the Wigner-Yanase skew information associated with the conjugate observable. Higher-order corrections to the uncertainty lower bound are determined by higher-order quantum skew moments; expressions for these moments are worked out in closed form.
