Completely positive maps and classical correlations
✍ Scribed by Rodríguez-Rosario, César A; Modi, Kavan; Kuah, Aik-meng; Shaji, Anil; Sudarshan, E C G
- Book ID
- 125467792
- Publisher
- IOP Publishing
- Year
- 2008
- Tongue
- English
- Weight
- 152 KB
- Volume
- 41
- Category
- Article
- ISSN
- 1751-8113
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## Abstract The paper is concerned with completely positive maps on the algebra of unbounded operatore __L__+(__D__) and on its completion __L__(D, D^+^). A decomposition theorem for continuous positive functionals is proved in [Tim. Loef.), and [Scholz 91] contains a generalization to maps into op
Characterizations are given for the positive and completely positive maps on n x 1~ complex matrices that leave invariant the diagonal entries or the kth elementary symmetric function of the diagonal entries, 1 < k < n. In addition, it is shown that such a positive map is always decomposable if n <