A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2006; you can also visit the original URL.
The file type is application/pdf
.
On the structure of the body of states with positive partial transpose
2006
Journal of Physics A: Mathematical and General
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.
doi:10.1088/0305-4470/39/5/l02
fatcat:xeunekfez5gyfoiif6u2u2fkmy