An asymptotical separability criterion for bipartite density operators

For a given density matrix ρ of a bipartite quantum system an asymptotical separability criterion is suggested. Using the continuous ensemble method, a sequence of separable density matrices is built which converges to ρ if and only if ρ is separable. The convergence speed is evaluated and for any given tolerance parameter κ an iterative procedure is suggested which decides in finite number of steps if there exists a separable density matrix ρκ which differs from the matrix ρ by at most κ.