Generalized Landau-Pollak uncertainty relation
Generalized Landau-Pollak uncertainty relation
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DOI：
10.1103/physreva.76.062108
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发表时间：
2007-07
影响因子：
2.9
通讯作者：
T. Miyadera;H. Imai
中科院分区：
文献类型：
--
作者：
T. Miyadera;H. Imai
Landau-Pollak不确定关系处理一对秩一投影值测度，并对它们的概率分布施加限制。它给出了它们的最大值之和的非平凡界。我们给出了这个界的一个推广（弱版本的Landau-Pollak不确定性关系）。我们的推广涵盖了一对正算子值测度。一个非平凡的，但稍弱的不等式，可以处理任意数量的正算子值的措施。文中还提出了一个可能的应用问题的可分性准则。
The Landau-Pollak uncertainty relation treats a pair of rank one projection valued measures and imposes a restriction on their probability distributions. It gives a nontrivial bound for summation of their maximum values. We give a generalization of this bound (weak version of the Landau-Pollak uncertainty relation). Our generalization covers a pair of positive operator valued measures. A nontrivial but slightly weak inequality that can treat an arbitrary number of positive operator valued measures is also presented. A possible application to the problem of separability criterion is also suggested.