Class of positive partial transposition states

Class of positive partial transposition states

We construct a class of quantum bipartite d(multiply-in-circle sign)d states which are positive under partial transposition (PPT states). This class is invariant under the maximal commutative subgroup of U(d) and contains as special cases many well-known examples of PPT states. States from our class...

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Veröffentlicht in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2006-08, Vol.74 (2), Article 022308
Hauptverfasser: Chruściński, Dariusz, Kossakowski, Andrzej
Format: Artikel
Sprache:eng
Schlagworte:
ATOMIC AND MOLECULAR PHYSICS
D STATES
QUANTUM ENTANGLEMENT
QUANTUM NUMBERS
TESTING
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Zusammenfassung:We construct a class of quantum bipartite d(multiply-in-circle sign)d states which are positive under partial transposition (PPT states). This class is invariant under the maximal commutative subgroup of U(d) and contains as special cases many well-known examples of PPT states. States from our class provide criteria for testing the indecomposability of positive maps. Such maps are crucial for constructing entanglement witnesses.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.74.022308