A simple test for quantum channel capacity

Marcin L Nowakowski; Paweł Horodecki

doi:10.1088/1751-8113/42/13/135306

A simple test for quantum channel capacity

Abstract

Based on state and channel isomorphism we point out that semidefiniteprogramming can be used as a quick test for nonzero one-way quantum channelcapacity. This can be achieved by searching for symmetric extensions of statesisomorphic to a given quantum channel. With this method we provide examplesof quantum channels that can lead to high entanglement transmission but stillhave zero one-way capacity, in particular, regions of symmetric extendibilityfor isotropic states in arbitrary dimensions are presented. Further, we derivea new entanglement parameter based on (normalized) relative entropy distanceto the set of states that have symmetric extensions and show explicitly thesymmetric extension of isotropic states being the nearest to singlets in the setof symmetrically extendible states. The suitable regularization of the parameterprovides a new upper bound on one-way distillable entanglement.

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Authors (2)

Marcin L Nowakowski
Paweł Horodecki prof. dr hab.

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: Journal of Physics A-Mathematical and Theoretical no. 42, pages 1 - 8,
ISSN: 1751-8113
Language:: English
Publication year:: 2009
Bibliographic description:: Nowakowski M., Horodecki P.: A simple test for quantum channel capacity // Journal of Physics A-Mathematical and Theoretical. -Vol. 42, nr. Nr 13 (2009), s.1-8
DOI:: Digital Object Identifier (open in new tab) 10.1088/1751-8113/42/13/135306
Verified by:: Gdańsk University of Technology