The Existence of Quantum Entanglement Catalysts
| dc.creator | Sun, Xiaoming | |
| dc.creator | Duan, Runyao | |
| dc.creator | Ying, Mingsheng | |
| dc.date | 2003-11-19 | |
| dc.date | 2005-01-18 | |
| dc.date.accessioned | 2026-07-07T06:08:23Z | |
| dc.date.available | 2026-07-07T06:08:23Z | |
| dc.description | Without additional resources, it is often impossible to transform one entangled quantum state into another with local quantum operations and classical communication. Jonathan and Plenio [Phys. Rev. Lett. 83, 3566(1999)] presented an interesting example showing that the presence of another state, called a catalyst, enables such a transformation without changing the catalyst. They also pointed out that in general it is very hard to find an analytical condition under which a catalyst exists. In this paper we study the existence of catalysts for two incomparable quantum states. For the simplest case of $2\times 2$ catalysts for transformations from one $4\times 4$ state to another, a necessary and sufficient condition for existence is found. For the general case, we give an efficient polynomial time algorithm to decide whether a $k\times k$ catalyst exists for two $n\times n$ incomparable states, where $k$ is treated as a constant. | |
| dc.description | 12 pages. Presentation part improved. Main results unchanged. Essentially the journal version | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0311133 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0311133 | |
| dc.identifier | IEEE. Trans. Inform. Theory, Vol. 51, No. 1, January 2005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91610 | |
| dc.subject | Quantum Physics | |
| dc.title | The Existence of Quantum Entanglement Catalysts | |
| dc.type | text |