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New Trends in Mathematical and Theoretical Physics
October 6, 2016 11:00–11:30, Moscow, MIAN, Gubkina, 8
 


Conditional mutual information in infinite-dimensional quantum systems and its use

Maksim Shirokov

Steklov Mathematical Institute
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MP4 229.2 Mb

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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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