Bures/statistical distinguishability probabilities of triseparable and biseparable Eggeling-Werner States
| dc.creator | Slater, Paul B. | |
| dc.date | 2003-06-06 | |
| dc.date | 2003-11-03 | |
| dc.date.accessioned | 2026-07-07T06:07:04Z | |
| dc.date.available | 2026-07-07T06:07:04Z | |
| dc.description | In a number of previous studies, we have investigated the use of the volume element of the Bures (minimal monotone) metric -- identically, one-fourth of the statistical distinguishability (SD) metric -- as a natural measure over the (n^2-1)-dimensional convex set of n x n density matrices. This has led us for the cases n = 4 and 6 to estimates of the prior (Bures/SD) probabilities that qubit-qubit and qubit-qutrit pairs are separable. Here, we extend this work from such bipartite systems to the tripartite "laboratory'' quantum systems possessing U x U x U symmetry recently constructed by Eggeling and Werner (Phys. Rev. A 63 [2001], 042324). We derive the associated SD metric tensors for the three-qubit and three-qutrit cases, and then obtain estimates of the various related Bures/SD probabilities using Monte Carlo methods. | |
| dc.description | eleven pages, two tables, one figure, LaTeX, two appendices of T. Eggeling, minor changes | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0306053 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0306053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91161 | |
| dc.subject | Quantum Physics | |
| dc.title | Bures/statistical distinguishability probabilities of triseparable and biseparable Eggeling-Werner States | |
| dc.type | text |