Extreme points of the set of density matrices with positive partial transpose

We present a necessary and sufficient condition for a finite-dimensional density matrix to be an extreme point of the convex set of density matrices with positive partial transpose with respect to a subsystem. We also give an algorithm for finding such extreme points and illustrate this by some exam...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2007-09, Vol.76 (3), Article 034304
Main Authors: Leinaas, J. M., Myrheim, J., Ovrum, E.
Format: Article
Language:English
Subjects:
ALGORITHMS
DENSITY MATRIX
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
MATHEMATICAL MODELS
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Summary:We present a necessary and sufficient condition for a finite-dimensional density matrix to be an extreme point of the convex set of density matrices with positive partial transpose with respect to a subsystem. We also give an algorithm for finding such extreme points and illustrate this by some examples.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.76.034304