2026-06-27T22:27:41Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/933652025-03-22T00:48:43Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Capel, Angela author Lucia, Angelo author Pérez García, David author 2017 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 || ∞ . 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. 4758-4765 10.1109/TIT.2017.2772800 https://hdl.handle.net/20.500.14352/93365 https://doi.org/10.1109/TIT.2017.2772800 Superadditivity of Quantum Relative Entropy for General States