Strong superadditivity conjecture holds for the quantum depolarizing channel in any dimension
Journal Article
·
· Physical Review. A
- Department of Higher Mathematics, Moscow Institute of Physics and Technology, Dolgoprudny 141700 (Russian Federation)
Given a quantum channel {phi} in a Hilbert space H, set H{sub {phi}}({rho})=min{sub {rho}{sub av}}{sub ={rho}}{sigma}{sub j=1}{sup k}{pi}{sub j}S({phi}({rho}{sub j})), where {rho}{sub av}={sigma}{sub j=1}{sup k}{pi}{sub j}{rho}{sub j}, the minimum is taken over all probability distributions {pi}=({pi}{sub j}) and states {rho}{sub j} in H, and S({rho})=-Tr{rho} log {rho} is the von Neumann entropy of a state {rho}. The strong superadditivity conjecture states that H{sub {phi}}{sub x{psi}}({rho}){>=}H{sub {phi}}(Tr{sub K}({rho}))+H{sub {psi}}(Tr{sub H}({rho})) for two channels {phi} and {psi} in Hilbert spaces H and K, respectively. We have proved the strong superadditivity conjecture for the quantum depolarizing channel in any dimensions.
- OSTI ID:
- 20991053
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 75; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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