{"paper":{"title":"Superadditivity of quantum relative entropy for general states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"quant-ph","authors_text":"Angela Capel, Angelo Lucia, David P\\'erez-Garc\\'ia","submitted_at":"2017-05-09T20:04:03Z","abstract_excerpt":"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} $. More specifically, we prove that $ \\alpha (\\sigma_{AB})\\cdot D({\\rho_{AB}}||{\\sigma_{AB}}) \\ge D({\\rho_A}||{\\sigma_A})+D({\\rho_B}||{\\sigma_B})$ holds for all bipartite states $\\rho_{AB}$ and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03521","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}