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Conditional mutual information in infinite-dimensional quantum systems and its use Maksim Shirokov Steklov Mathematical Institute |
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Abstract: It is shown that the quantum conditional mutual information (defined in a standard way) has a unique lower semicontinuous extension to the set of all infinite-dimensional tripartite states. Some corollaries of the lower semicontinuity of the conditional mutual information are discussed. Applications to the theory of infinite-dimensional quantum channels and their capacities are also considered. Language: English |
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