Geometry of quantum states: New construction of positive maps

We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map and provide a wide family of entanglement witnesses which define a basic tool...

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Veröffentlicht in:Physics letters. A 2009-06, Vol.373 (27), p.2301-2305
Hauptverfasser: Chruściński, Dariusz, Kossakowski, Andrzej
Format: Artikel
Sprache:eng
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Zusammenfassung:We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map and provide a wide family of entanglement witnesses which define a basic tool for analyzing quantum entanglement.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2009.04.068