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On Entropy Transmission for Quantum Channels

Nasir Ganikhodjaev·Farrukh Mukhamedov
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Abstract

In this paper a notion of entropy transmission of quantum channels is introduced as a natural extension of Ohya's entropy. Here by quantum channel is meant unital completely positive mappings (ucp) of $B(H)$ into itself, where $H$ is an infinite dimensional Hilbert space. Using a representation theorem of ucp mapping we associate to every ucp map a uniquely determined state, and prove that entropy of ucp map is less then Ohya's entropy of the associated state.

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Nasir Ganikhodjaev, Farrukh Mukhamedov. 2007-05-31. On Entropy Transmission for Quantum Channels. https://arxiv.org/abs/quant-ph/0703245

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