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Superadditivity of quantum relative entropy for general states. (arXiv:1705.03521v2 [quant-ph] UPDATED)

The property of superadditivity of the quantum relative entropy states that, in a bipartite system $\mathcal{H}_{AB}=\mathcal{H}_A \otimes \mathcal{H}_B$, for every density operator $\rho_{AB}$ one has $D(\rho_{AB}||\sigma_A\otimes \sigma_B) \ge D(\rho_A || \sigma_A)+D(\rho_B ||\sigma_B)$. In this work, we provide an extension of this inequality for arbitrary density operators $\sigma_{AB}$.查看全文

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