Distribution of G-concurrence of random pure states

Details Distribution of G-concurrence of random pure states Distribution of G-concurrence of random pure states

2006-05-31

arxiv.org/abs/quant-ph/0605251v2

Phys. Rev. A 74(6), 062322 (2006)

Physics

Quantum Physics

RevTeX4, 11 pages, 4 Encapsuled PostScript figures - Introduced new results, Section II and V have been significantly improved

Scientific paper

10.1103/PhysRevA.74.062322

Average entanglement of random pure states of an N x N composite system is analyzed. We compute the average value of the determinant D of the reduced state, which forms an entanglement monotone. Calculating higher moments of the determinant we characterize the probability distribution P(D). Similar results are obtained for the rescaled N-th root of the determinant, called G-concurrence. We show that in the limit $N\to\infty$ this quantity becomes concentrated at a single point G=1/e. The position of the concentration point changes if one consider an arbitrary N x K bipartite system, in the joint limit $N,K\to\infty$, K/N fixed.

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