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CB-norm estimates for maps between noncommutative Lp-spaces and quantum channel theory.

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Junge, M. and Palazuelos Cabezón, Carlos (2016) CB-norm estimates for maps between noncommutative Lp-spaces and quantum channel theory. International Mathematics Research Notices (3). pp. 875-925. ISSN 1073-7928

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Official URL: http://arxiv.org/pdf/1407.7684.pdf




Abstract

In the first part of this work, we show how certain techniques from quantum information theory can be used in order to obtain very sharp embeddings between noncommutative Lp-spaces. Then, we use these estimates to study the classical capacity with restricted assisted entanglement of the quantum erasure channel and the quantum depolarizing channel. In particular, we exactly compute the capacity of the first one and we show that certain nonmultiplicative results hold for the second one.


Item Type:Article
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:38232
Deposited On:05 Jul 2016 07:05
Last Modified:05 Jul 2016 07:33

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