dorsal/arxiv
View SchemaDistribution of G-concurrence of random pure states
| Authors | Valerio Cappellini, Hans-Juergen Sommers, Karol Zyczkowski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605251 |
| URL | https://arxiv.org/abs/quant-ph/0605251 |
| DOI | 10.1103/PhysRevA.74.062322 |
| Journal | Phys. Rev. A 74(6), 062322 (2006) |
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.
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"abstract": "Average entanglement of random pure states of an N x N composite system is\nanalyzed. We compute the average value of the determinant D of the reduced\nstate, which forms an entanglement monotone. Calculating higher moments of the\ndeterminant we characterize the probability distribution P(D). Similar results\nare obtained for the rescaled N-th root of the determinant, called\nG-concurrence. We show that in the limit $N\\to\\infty$ this quantity becomes\nconcentrated at a single point G=1/e. The position of the concentration point\nchanges if one consider an arbitrary N x K bipartite system, in the joint limit\n$N,K\\to\\infty$, K/N fixed.",
"arxiv_id": "quant-ph/0605251",
"authors": [
"Valerio Cappellini",
"Hans-Juergen Sommers",
"Karol Zyczkowski"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1103/PhysRevA.74.062322",
"journal_ref": "Phys. Rev. A 74(6), 062322 (2006)",
"title": "Distribution of G-concurrence of random pure states",
"url": "https://arxiv.org/abs/quant-ph/0605251"
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