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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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1110.5979","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-27T03:58:35Z","cross_cats_sorted":[],"title_canon_sha256":"4d405552b43c34efac19de9b8fca2e1cda8971184a0c63e92da7be6b897dd55f","abstract_canon_sha256":"a2637f89865aed9548413cf3e277c9d973cf2d78f2b5fb11020934f4f40c9218"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:11.021923Z","signature_b64":"f4IqoASb2Di+NC0NGvb4fWrw/Ei24qKDEHGEMX9NEYs2qgnz1wBjRCpWxhcH+aPg3X2RVbZksI1uWOKeS+HHCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f790c62a534283a4d5e27664bd2de5b5d5eea3a3abb0a5af98953b0c4fdf4420","last_reissued_at":"2026-05-18T03:41:11.021244Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:11.021244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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. 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