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首页> 外文期刊>IEEE Transactions on Information Theory >Tradeoff Relations Between Accessible Information, Informational Power, and Purity
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Tradeoff Relations Between Accessible Information, Informational Power, and Purity

机译：无障碍信息，信息量和纯度之间的权衡关系

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摘要

The accessible information and the informational power quantify the maximum amount of information that can be extracted from a quantum ensemble and by a quantum measurement, respectively. Here, we investigate the tradeoff between the accessible information (informational power, respectively) and the purity of the states of the ensemble (the elements of the measurement, respectively). Under any given lower bound on the purity, 1) we compute the minimum informational power and show that it is attained by the depolarized uniformly-distributed measurement; and 2) we give a lower bound on the accessible information. Under any given upper bound on the purity, 1) we compute the maximum accessible information and show that it is attained by an ensemble of pairwise commuting states with at most two distinct non-null eigenvalues; and 2) we give a lower bound on the maximum informational power. The present results provide, as a corollary, novel sufficient conditions for the tightness of the Jozsa-Robb-Wootters lower bound to the accessible information.
机译：可访问信息和信息功率量化可以分别从量子集合和量子测量提取的最大信息量。在这里，我们调查可访问信息（分别提供信息量）与集合状态（分别的元素）之间的权衡。在纯度的任何给定的下限下，1）我们计算最低信息功率并表明它通过去极化的均匀分布式测量来实现; 2）我们在可访问信息上给出了较低的界限。在纯度的任何给定的上限下，1）我们计算最大可访问信息，并表明它是由一对与大多数不同非空特征值的成对通勤状态的集合实现; 2）我们在最大信息量上给出了下限。作为必然的，本结果提供了一种用于使JOZSA-Robb-Wootters的紧密性的新颖充足条件下限于可访问信息。

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