Family of concurrence monotones and its applications

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 1, 2005, Pages

  Gour, Gilad ^a,b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIPARTITE; INFORMATION PROTOCOLS; MONOTONES; REMOTE ENTANGLEMENT DISTRIBUTION (RED);

COMPUTATIONAL METHODS; DATA PROCESSING; FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA;

QUANTUM CRYPTOGRAPHY;

EID: 18444369955     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.012318     Document Type: Article

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44. Despite the simple expression in Eq. (19) for pure states, the convex roof for the G-concurrence on mixed states is yet unknown. On the other hand, the multipartite, two level generalizations of concurrence [21] do admit an explicit formula for the convex roof.
45. k=d1d2=4.
46. The determinant of an operator, like its trace, is basis independent.
47. For pure states, Eq. (24) follows from the geometric-arithmetic inequality, and for mixed states from the convex roof extension.
48. 2 elements, it is not necessary for the proof; we could instead write the optimal decompositions with any number of elements.