Families of bipartite states classifiable by the positive partial transposition criterion

Details Families of bipartite states classifiable by the positive partial transposition criterion Families of bipartite states classifiable by the positive partial transposition criterion

2009-06-06

arxiv.org/abs/0906.1297v3

Quant. Inf. Comput. 10, No. 5&6, 525 (2010)

Physics

Quantum Physics

7 pages, no figures, references and an appendix added

Scientific paper

We construct a family of bipartite states of arbitrary dimension whose eigenvalues of the partially transposed matrix can be inferred directly from the block structure of the global density matrix. We identify from this several subfamilies in which the PPT criterion is both necessary and sufficient. A sufficient criterion of separability is obtained, which is fundamental for the discussion. We show how several examples of states known to be classifiable by the PPT criterion indeed belong to this general set. Possible uses of these states in numerical analysis of entanglement and in the search of PPT bound entangled states are briefly discussed.

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