Multi-particle entanglement manipulation under positive partial transpose preserving operations
| dc.creator | Ishizaka, Satoshi | |
| dc.creator | Plenio, Martin B. | |
| dc.date | 2004-12-24 | |
| dc.date | 2005-03-10 | |
| dc.date.accessioned | 2026-07-07T06:11:51Z | |
| dc.date.available | 2026-07-07T06:11:51Z | |
| dc.description | We consider the transformation of multi-partite states in the single copy setting under positive-partial-transpose-preserving operations (PPT-operations) and obtain both qualitative and quantitative results. Firstly, for some pure state transformations that are impossible under local operations and classical communication (LOCC), we demonstrate that they become possible with a surprisingly large success probability under PPT-operations. Furthermore, we clarify the convertibility of arbitrary multipartite pure states under PPT-operations, and show that a drastic simplification in the classification of pure state entanglement occurs when the set of operations is switched from LOCC to PPT-operations. Indeed, the infinitely many types of LOCC-incomparable entanglement are reduced to only one type under the action of PPT-operations. This is a clear manifestation of the increased power afforded by the use of PPT-bound entanglement. In addition, we further enlarge the set of operations to clarify the effect of another type of bound entanglement, multipartite unlockable bound entanglement, and show that a further simplification occurs. As compared to pure states a more complicated situation emerges in the mixed state settings. While single copy distillation becomes possible under PPT-operations for some mixed states it remains impossible for other mixed states. | |
| dc.description | 12 pages and 1 figure (accepted version) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0412193 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0412193 | |
| dc.identifier | Phys. Rev. A 71, 052303 (2005) | |
| dc.identifier | doi:10.1103/PhysRevA.71.052303 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92613 | |
| dc.subject | Quantum Physics | |
| dc.title | Multi-particle entanglement manipulation under positive partial transpose preserving operations | |
| dc.type | text |