{"paper":{"title":"Koashi-Winter relation for {\\alpha}-Renyi entropies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Tiago Debarba","submitted_at":"2017-06-06T18:44:05Z","abstract_excerpt":"This work presents a generalization of the Koashi-Winter relation for $\\alpha$-Renyi entropies. This result is based on the Renyi\\apos s entropy version of quantum Jensen Shannon divergence. By means of this definition, a classical correlations quantifier $C_{\\alpha}(\\rho_{AB}) = \\sup_{\\xi_{AB}^{M_B}} Q_{\\alpha}(\\xi_{AB}^{M_B})$ is proposed, where the optimization is taken over the ensembles $\\xi_{AB}^{M_B}$ created by the outputs of the local measurement process. The main result is applied to the capacity of a quantum classical channel over a tripartite pure state $\\psi_{ABE}$, that is rated "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01924","kind":"arxiv","version":1},"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"}