On the one-particle reduced density matrices of a pure three-qutrit quantum state
| dc.creator | Higuchi, Atsushi | |
| dc.date | 2003-09-25 | |
| dc.date | 2003-09-26 | |
| dc.date.accessioned | 2026-07-07T06:07:55Z | |
| dc.date.available | 2026-07-07T06:07:55Z | |
| dc.description | We present a necessary and sufficient condition for three qutrit density matrices to be the one-particle reduced density matrices of a pure three-qutrit quantum state. The condition consists of seven classes of inequalities satisfied by the eigenvalues of these matrices. One of them is a generalization of a known inequality for the qubit case. Some of these inequalities are proved algebraically whereas the proof of the others uses the fact that a continuous function of the state must have a minimum. Construction of states satisfying these inequalities relies on a representation of the convex set of the allowed set of eigenvalues in terms of corner points. We also present a result for a more general quantum system concerning the nature of the boundary surface of the set of the allowed set of eigenvalues. | |
| dc.description | 46 pages, REVTeX4, title corrected | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0309186 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0309186 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91465 | |
| dc.subject | Quantum Physics | |
| dc.title | On the one-particle reduced density matrices of a pure three-qutrit quantum state | |
| dc.type | text |