Generic local distinguishability and completely entangled subspaces
| dc.creator | Walgate, Jonathan | |
| dc.creator | Scott, A. J. | |
| dc.date | 2007-09-26 | |
| dc.date | 2008-08-14 | |
| dc.date.accessioned | 2026-07-07T09:56:17Z | |
| dc.date.available | 2026-07-07T09:56:17Z | |
| dc.description | A subspace of a multipartite Hilbert space is completely entangled if it contains no product states. Such subspaces can be large with a known maximum size, S, approaching the full dimension of the system, D. We show that almost all subspaces with dimension less than or equal to S are completely entangled, and then use this fact to prove that n random pure quantum states are unambiguously locally distinguishable if and only if n does not exceed D-S. This condition holds for almost all sets of states of all multipartite systems, and reveals something surprising. The criterion is identical for separable and for nonseparable states: entanglement makes no difference. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0709.4238 | |
| dc.identifier | http://arxiv.org/abs/0709.4238 | |
| dc.identifier | J. Phys. A 41, 375305 (2008) | |
| dc.identifier | doi:10.1088/1751-8113/41/37/375305 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166928 | |
| dc.subject | Quantum Physics | |
| dc.title | Generic local distinguishability and completely entangled subspaces | |
| dc.type | text |