Distribution of G-concurrence of random pure states
| dc.creator | Cappellini, Valerio | |
| dc.creator | Sommers, Hans-Juergen | |
| dc.creator | Zyczkowski, Karol | |
| dc.date | 2006-05-31 | |
| dc.date | 2006-11-23 | |
| dc.date.accessioned | 2026-07-07T07:37:31Z | |
| dc.date.available | 2026-07-07T07:37:31Z | |
| dc.description | 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. | |
| dc.description | RevTeX4, 11 pages, 4 Encapsuled PostScript figures - Introduced new results, Section II and V have been significantly improved - To appear on PRA | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0605251 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0605251 | |
| dc.identifier | Phys. Rev. A 74(6), 062322 (2006) | |
| dc.identifier | doi:10.1103/PhysRevA.74.062322 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120804 | |
| dc.subject | Quantum Physics | |
| dc.subject | Mathematical Physics | |
| dc.title | Distribution of G-concurrence of random pure states | |
| dc.type | text |