Random low rank mixed states are highly entangled
| dc.creator | Chen, Hao | |
| dc.date | 2001-11-01 | |
| dc.date | 2001-11-13 | |
| dc.date.accessioned | 2026-07-07T06:02:56Z | |
| dc.date.available | 2026-07-07T06:02:56Z | |
| dc.description | We prove that for many ranks r<2m-2, random rank r mixed states in bipartite mxm systems have relatively high Schmidt numbers, which is based on algebraic-geometric separability criterion proved in [1]. This also means that the algebraic-geometric separability criterion can be used to detect all low rank entangled mixed states outside a measure zero set. | |
| dc.description | 12 pages, no figure. Title and main theorem changed, we emphasize that random low rank mixed states have high Schmidt numbers in v2 | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0111004 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0111004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89803 | |
| dc.subject | Quantum Physics | |
| dc.title | Random low rank mixed states are highly entangled | |
| dc.type | text |