Numerical studies of entangled PPT states in composite quantum systems

Details Numerical studies of entangled PPT states in composite quantum systems Numerical studies of entangled PPT states in composite quantum systems

2010-02-09

arxiv.org/abs/1002.1949v1

Phys. Rev. A 81, 062329 (2010)

Physics

Quantum Physics

18 pages, 4 figures

Scientific paper

10.1103/PhysRevA.81.062330

We report here on the results of numerical searches for PPT states with specified ranks for density matrices and their partial transpose. The study includes several bipartite quantum systems of low dimensions. For a series of ranks extremal PPT states are found. The results are listed in tables and charted in diagrams. Comparison of the results for systems of different dimensions reveal several regularities. We discuss lower and upper bounds on the ranks of extremal PPT states.

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