For three-copy Werner states at the critical noise level, every positive-semidefinite or normal rank-two test operator is shown to satisfy q3(C) >= 0, with the remaining nonnormal case reduced to a crossed-Gram criterion.
Distillability and partial transposition in bipartite systems
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We study the distillability of a certain class of bipartite density operators which can be obtained via depolarization starting from an arbitrary one. Our results suggest that non-positivity of the partial transpose of a density operator is not a sufficient condition for distillability, when the dimension of both subsystems is higher than two.
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Sharp Plucker Geometry for Three-Copy Werner Distillation
For three-copy Werner states at the critical noise level, every positive-semidefinite or normal rank-two test operator is shown to satisfy q3(C) >= 0, with the remaining nonnormal case reduced to a crossed-Gram criterion.