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Register a new userDistribution of G-concurrence of random pure states
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Valerio Cappellini Dr.
Publication date
2006
fields
Physics
and research's language is
English
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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 $Ntoinfty$ 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 $N,Ktoinfty$, K/N fixed.
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