Unitary local invariance
| dc.creator | Paris, Matteo G A | |
| dc.date | 2005-02-03 | |
| dc.date | 2005-04-29 | |
| dc.date.accessioned | 2026-07-07T07:40:13Z | |
| dc.date.available | 2026-07-07T07:40:13Z | |
| dc.description | We address unitary local (UL) invariance of bipartite pure states. Given a bipartite state $|Ψ>>=\sum_{ij} ψ_{ij}\: |i>_1\otimes |j>_2$ the complete characterization of the class of local unitaries $U_1\otimes U_2$ for which $U_1\otimes U_2 |Ψ>>=|Ψ>>$ is obtained.The two relevant parameters are the rank of the matrix $Ψ$, $[Ψ]_{ij}=ψ_{ij}$, and the number of its equal singular values, {\em i.e.} the degeneracy of the eigenvalues of the partial traces of $|Ψ>>$. | |
| dc.description | Revised version. Accepted for publication Int. J. Quant. Inf | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0502025 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0502025 | |
| dc.identifier | Int. J. Quant. Inf. 3, 655 (2005). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121712 | |
| dc.subject | Quantum Physics | |
| dc.title | Unitary local invariance | |
| dc.type | text |