论文标题

力矩图估计的大偏差原理

Large deviation principle for moment map estimation

论文作者

Botero, Alonso, Christandl, Matthias, Vrana, Péter

论文摘要

我们考虑一个积极的运营商家族,有价值的措施与紧凑型连接的谎言组的表示相关。对于单个状态的许多独立副本和张量的功率表示,我们表明观察到的概率分布会收敛到矩图的值。对于可逆状态,我们证明该度量具有明确给定的速率函数的大偏差原理。

We consider a family of positive operator valued measures associated with representations of compact connected Lie groups. For many independent copies of a single state and a tensor power representation we show that the observed probability distributions converge to the value of the moment map. For invertible states we prove that the measures satisfy the large deviation principle with an explicitly given rate function.

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