| On the structure of the body of states with positive partial transpose (2005) | |||||||||
Abstract | |||||||||
| We show that the convex set of separable mixed states of the 2 x 2 system is a body of constant height. This fact is used to prove that the probability to find a random state to be separable equals 2 times the probability to find a random boundary state to be separable, provided the random states are generated uniformly with respect to the Hilbert-Schmidt (Euclidean) distance. An analogous property holds for the set of positive-partial-transpose states for an arbitrary bipartite system.. Comment: 10 pages, 1 figure; ver. 2 - minor changes, new proof of lemma 3 | |||||||||
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