Optimal purification of a generic n-qudit state
| dc.creator | Benenti, Giuliano | |
| dc.creator | Strini, Giuliano | |
| dc.date | 2008-10-08 | |
| dc.date | 2009-01-13 | |
| dc.date.accessioned | 2026-07-07T13:10:51Z | |
| dc.date.available | 2026-07-07T13:10:51Z | |
| dc.description | We propose a quantum algorithm for the purification of a generic mixed state $ρ$ of a $n$-qudit system by using an ancillary $n$-qudit system. The algorithm is optimal in that (i) the number of ancillary qudits cannot be reduced, (ii) the number of parameters which determine the purification state $|Ψ>$ exactly equals the number of degrees of freedom of $ρ$, and (iii) $|Ψ>$ is easily determined from the density matrix $ρ$. Moreover, we introduce a quantum circuit in which the quantum gates are unitary transformations acting on a $2n$-qudit system. These transformations are determined by parameters that can be tuned to generate, once the ancillary qudits are disregarded, any given mixed $n$-qudit state. | |
| dc.description | 8 pages, 9 figures, remarks added | |
| dc.identifier | https://arxiv.org/abs/0810.1417 | |
| dc.identifier | http://arxiv.org/abs/0810.1417 | |
| dc.identifier | PhysRevA.79, 052301 (2009) | |
| dc.identifier | doi:10.1103/PhysRevA.79.052301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229117 | |
| dc.subject | Quantum Physics | |
| dc.title | Optimal purification of a generic n-qudit state | |
| dc.type | text |