期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 290, 期 3, 页码 1051-1064出版社
SPRINGER
DOI: 10.1007/s00220-009-0790-8
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资金
- Polish Ministry of Science and Higher Education [3004/B/H03/2007/33]
- Polish Research Network Laboratory of Physical Foundations of Information Processing
We provide partial classification of positive linear maps in matrix algebras which is based on a family of spectral conditions. This construction generalizes the celebrated Choi example of a map which is positive but not completely positive. It is shown how the spectral conditions enable one to construct linear maps on tensor products of matrix algebras which are positive but only on a convex subset of separable elements. Such maps provide basic tools to study quantum entanglement in multipartite systems.
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