Distribution of G-concurrence of random pure states

Abstract

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.

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

References in corpus (1)

• Aspects of generic entanglement

Cited by in corpus (2)

• Optimal two-qubit gate for generation of random bipartite entanglement
• Parameters of Pseudo-Random Quantum Circuits