Inclusion relations among separability criteria

Details Inclusion relations among separability criteria Inclusion relations among separability criteria

2003-07-23

arxiv.org/abs/quant-ph/0307167v1

Journal of Physics A 37, 895 (2004)

Physics

Quantum Physics

Submitted for publication

Scientific paper

10.1088/0305-4470/37/3/024

We revisit the application of different separability criteria by recourse to an exhaustive Monte Carlo exploration involving the pertinent state-space of pure and mixed states. The corresponding chain of implications of different criteria is in such a way numerically elucidated. We also quantify, for a bipartite system of arbitrary dimension, the proportion of states $\rho$ that can be distilled according to a definite criterion. Our work can be regarded as a complement to the recent review paper by B. Terhal [Theor. Comp. Sci. {\bf 287} (2002) 313]. Some questions posed there receive an answer here.

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