{"paper":{"title":"Universal upper bound for the Holevo information induced by a quantum operation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Junde Wu, Lin Zhang, Shao-Ming Fei","submitted_at":"2011-10-27T03:58:35Z","abstract_excerpt":"Let $\\cH_A\\ot \\cH_B$ be a bipartite system and $\\rho_{AB}$ a quantum state on $\\cH_A\\ot \\cH_B$, $\\rho_A = \\Ptr{B}{\\rho_{AB}}$, $\\rho_B = \\Ptr{A}{\\rho_{AB}}$. Then each quantum operation $\\Phi_B$ on the quantum system $\\cH_B$ can induce a quantum ensemble $\\set{(p_\\mu,\\rho_{A,\\mu})}$ on quantum system $\\cH_A$. In this paper, we show that the Holevo quantity $\\chi\\set{(p_\\mu,\\rho_{A,\\mu})}$ of the quantum ensemble $\\set{(p_\\mu,\\rho_{A,\\mu})}$ can be upper bounded by both subsystem entropies. By using the result, we answer partly a conjecture of Fannes, de Melo, Roga and \\.{Z}yczkowski."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5979","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"}