Linearly-independent quantum states can be cloned
| dc.creator | Duan, Lu-Ming | |
| dc.creator | Guo, Guang-Can | |
| dc.date | 1997-05-12 | |
| dc.date.accessioned | 2026-07-07T06:14:16Z | |
| dc.date.available | 2026-07-07T06:14:16Z | |
| dc.description | A fundamental question in quantum mechanics is, whether it is possible to replicate an arbitrary unknown quantum state. Then famous quantum no-cloning theorem [Nature 299, 802 (1982)] says no to the question. But it leaves open the following question: If the state is not arbitrary, but secretly chosen from a certain set $\$={ | Ψ_1> ,| Ψ_2> ,... ,| Ψ_n> } $, whether is the cloning possible? This question is of great practical significance because of its applications in quantum information theory. If the states $| Ψ_1>, | Ψ_2>,...$ and $| Ψ_n> $ are linearly-dependent, similar to the proof of the no-cloning theorem, the linearity of quantum mechanics forbids such replication. In this paper, we show that, if the states $| Ψ_1>, | Ψ_2>, ...$ and $| Ψ_n> $ are linearly-independent, they do can be cloned by a unitary-reduction process. | |
| dc.description | 9 pages, no figures, Latex | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9705018 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9705018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93397 | |
| dc.subject | Quantum Physics | |
| dc.title | Linearly-independent quantum states can be cloned | |
| dc.type | text |