Unextendible product bases and locally unconvertible bound entangled states
| dc.creator | Bravyi, Sergey | |
| dc.date | 2003-10-29 | |
| dc.date.accessioned | 2026-07-07T06:08:11Z | |
| dc.date.available | 2026-07-07T06:08:11Z | |
| dc.description | Mutual convertibility of bound entangled states under local quantum operations and classical communication (LOCC) is studied. We focus on states associated with unextendible product bases (UPB) in a system of three qubits. A complete classification of such UPBs is suggested. We prove that for any pair of UPBs $S$ and $T$ the associated bound entangled states $ρ_S$ and $ρ_T$ can not be converted to each other by LOCC, unless $S$ and $T$ coincide up to local unitaries. More specifically, there exists a finite precision $ε>0$ such that for any LOCC protocol mapping $ρ_S$ into a probabilistic ensemble $(p_j,ρ_j)$, the fidelity between $ρ_T$ and any possible final state $ρ_j$ is smaller than $1-ε$. | |
| dc.description | REVTeX, 9 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0310172 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0310172 | |
| dc.identifier | Quantum Information Processing, Vol. 3(6) pp. 309-329 (2004) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91542 | |
| dc.subject | Quantum Physics | |
| dc.title | Unextendible product bases and locally unconvertible bound entangled states | |
| dc.type | text |