Journal
LINEAR ALGEBRA AND ITS APPLICATIONS
Volume 439, Issue 10, Pages 2844-2860Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2013.08.029
Keywords
Symmetric group; D-type; Atomic map; Decomposable map; Completely positive; Structural physical approximation; Optimal entanglement witness
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Funding
- Shanghai Leading Academic Discipline Project [B407]
- National Natural Science Foundation of China [11171109]
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We construct a class of positive linear maps on matrix algebras. We find conditions when these maps are atomic, decomposable and completely positive. We obtain a large class of atomic positive linear maps. As applications in quantum information theory, we discuss the structural physical approximation and optimality of entanglement witness associated with these maps. (C) 2013 Elsevier Inc. All rights reserved.
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