On strong superadditivity for a class of quantum channels
| dc.creator | Amosov, Grigori | |
| dc.date | 2006-10-12 | |
| dc.date | 2006-10-13 | |
| dc.date.accessioned | 2026-07-07T07:30:22Z | |
| dc.date.available | 2026-07-07T07:30:22Z | |
| dc.description | Given a quantum channel $Φ$ in a Hilbert space $H$ put $\hat H_Φ(ρ)=\min \limits_{ρ_{av}=ρ}Σ_{j=1}^{k}π_{j}S(Φ(ρ_{j}))$, where $ρ_{av}=Σ_{j=1}^{k}π_{j}ρ_{j}$, the minimum is taken over all probability distributions $π=\{π_{j}\}$ and states $ρ_{j}$ in $H$, $S(ρ)=-Trρ\logρ$ is the von Neumann entropy of a state $ρ$. The strong superadditivity conjecture states that $\hat H_{Φ\otimes Ψ}(ρ)\ge \hat H_Φ(Tr_{K}(ρ))+\hat H_Ψ(Tr_{H}(ρ))$ for two channels $Φ$ and $Ψ$ in Hilbert spaces $H$ and $K$, respectively. We have proved the strong superadditivity conjecture for the quantum depolarizing channel in prime dimensions. The estimation of the quantity $\hat H_{Φ\otimes Ψ}(ρ)$ for the special class of Weyl channels $Φ$ of the form $Φ=Ξ\circ Φ_{dep}$, where $Φ_{dep}$ is the quantum depolarizing channel and $Ξ$ is the phase damping is given. | |
| dc.description | revtex, 4 pages | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0610098 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0610098 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118432 | |
| dc.subject | Quantum Physics | |
| dc.title | On strong superadditivity for a class of quantum channels | |
| dc.type | text |