Majorization criterion for distillability of a bipartite quantum state
| dc.creator | Hiroshima, Tohya | |
| dc.date | 2003-03-11 | |
| dc.date | 2003-06-27 | |
| dc.date.accessioned | 2026-07-07T06:06:18Z | |
| dc.date.available | 2026-07-07T06:06:18Z | |
| dc.description | Bipartite quantum states are classified into three categories: separable states, bound entangled states, and free entangled states. It is of great importance to characterize these families of states for the development of quantum information science. In this paper, I show that the separable states and the bound entangled states have a common spectral property. More precisely, I prove that for undistillable -- separable and bound entangled -- states, the eigenvalue vector of the global system is majorized by that of the local system. This result constitutes a new sufficient condition for distillability of bipartite quantum states. This is achieved by proving that if a bipartite quantum state satisfies the reduction criterion for distillability, then it satisfies the majorization criterion for separability. | |
| dc.description | 4 pages, no figures, REVTEX. A new lemma (Lemma 2) added. To appear in Physical Review Letters | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0303057 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0303057 | |
| dc.identifier | .Phys. Rev. Lett. 91, 057902 (2003) | |
| dc.identifier | doi:10.1103/PhysRevLett.91.057902 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90928 | |
| dc.subject | Quantum Physics | |
| dc.title | Majorization criterion for distillability of a bipartite quantum state | |
| dc.type | text |