标题： 新的素数幂维度的熵不确定性关系 显示英文标题

标题： New entropic uncertainty relations for prime power dimensions

摘要： 我们考虑素数幂维数下的熵不确定性关系。 为了改进高维量子系统中的此类不确定性关系，我们在所有分布的碰撞概率之和固定的约束下，推导出多个概率分布的熵的紧下界。 这是一个纯粹的经典信息理论结果，然而利用Larsen \cite{Larsen90} 的一个有趣结果，我们可以将其与熵不确定性关系联系起来。 显示英文摘要

摘要： We consider the question of entropic uncertainty relations for prime power dimensions. In order to improve upon such uncertainty relations for higher dimensional quantum systems, we derive a tight lower bound amount of entropy for multiple probability distributions under the constraint that the sum of the collision probabilities for all distributions is fixed. This is purely a classical information theoretical result, however using an interesting result by Larsen \cite{Larsen90} allows us to connect this to an entropic uncertainty relation.