Stanisław J Szarek et al 2006 J. Phys. A: Math. Gen. 39 L119 doi:10.1088/0305-4470/39/5/L02
Stanisław J Szarek1,2, Ingemar Bengtsson3 and Karol Życzkowski4,5,6
Show affiliationsWe show that the convex set of separable mixed states of the 2 × 2 system is a body of a constant height. This fact is used to prove that the probability of finding a random state to be separable equals twice the probability of finding a random boundary state to be separable, provided that the random states are generated uniformly with respect to the Hilbert–Schmidt (Euclidean) measure. An analogous property holds for the set of positive-partial-transpose states for an arbitrary bipartite system.
03.67.Mn Entanglement measures, witnesses, and other characterizations
81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
Issue 5 (3 February 2006)
Received 7 September 2005, in final form 5 December 2005
Published 18 January 2006
Stanisław J Szarek et al 2006 J. Phys. A: Math. Gen. 39 L119
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