RT Journal Article
T1 Superadditivity of Quantum Relative Entropy for General States
A1 Capel, Angela
A1 Lucia, Angelo
A1 Pérez García, David
AB The property of superadditivity of the quantum relative entropy states that, in a bipartite system H AB = H A ⊗ H B , for every density operator ρ AB , one has D(ρ AB ||σ A ⊗ σ B )≥ D(ρ A ||σ A ) + D(ρB||σB). In this paper, we provide an extension of this inequality for arbitrary density operators σ AB . More specifically, we prove that α(σ AB )· D(ρ AB ||σ AB )≥D(ρ A ||σ A )+ D(ρ B ||σ B ) holds for all bipartite states ρ AB and σ AB , where α(σ AB ) = 1 + 2||σ A -1/2 ⊗ σ AB σ A -1/2 ⊗ σ B -1/2 - || AB || ∞ .
PB IEEE Xplore
SN 4758-4765
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/93365
UL https://hdl.handle.net/20.500.14352/93365
LA eng
NO A. Capel, A. Lucia, y D. Perez-Garcia, «Superadditivity of Quantum Relative Entropy for General States», IEEE Trans. Inform. Theory, vol. 64, n.o 7, pp. 4758-4765, jul. 2018, doi: 10.1109/TIT.2017.2772800.
NO Comunidad de Madrid
NO Ministerio de Economía y Competitividad (España)
NO European Commission
NO Fundación La Caixa
NO Independent Research Fund Denmark
DS Docta Complutense
RD 10 abr 2025