论文标题
SIC-POVMS和妈妈的熵不确定性关系
Entropic uncertainty relations for SIC-POVMs and MUMs
论文作者
论文摘要
我们在Rényi熵与概率分布的巧合索引之间构建了不平等，基于我们，我们获得了一般对称信息的一般信息完整的正面操作员评估措施（SIC-POVM）的依赖性状态依赖性熵不确定性关系，并在有限的减小系统上获得了相互无公正的测量（MUM）。我们表明，对于充分混合的状态，我们对一般的SIC-POVM和妈妈的不确定性关系可能很紧，此外，与数值最佳结果的比较是通过信息图进行的。
We construct inequalities between Rényi entropy and the indexes of coincidence of probability distributions, based on which we obtain improved state-dependent entropic uncertainty relations for general symmetric informationally complete positive operator-valued measures (SIC-POVM) and mutually unbiased measurements (MUM) on finite dimensional systems. We show that our uncertainty relations for general SIC-POVMs and MUMs can be tight for sufficiently mixed states, and moreover, comparisons to the numerically optimal results are made via information diagrams.
