| Autor: |
Rajarama Bhat, B. V., Devendra, Repana, Mallick, Nirupama, Sumesh, K. |
| Předmět: |
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| Zdroj: |
Reviews in Mathematical Physics; Apr2023, Vol. 35 Issue 3, p1-17, 17p |
| Abstrakt: |
In this paper, we study the C ∗ -convex set of unital entanglement breaking (EB-)maps on matrix algebras. General properties and an abstract characterization of C ∗ -extreme points are discussed. By establishing a Radon–Nikodym-type theorem for a class of EB-maps we give a complete description of the C ∗ -extreme points. It is shown that a unital EB-map Φ : d 1 → d 2 is C ∗ -extreme if and only if it has Choi-rank equal to d 2 . Finally, as a direct consequence of the Holevo form of EB-maps, we derive a non-commutative analog of the Krein–Milman theorem for C ∗ -convexity of the set of unital EB-maps. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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