{"paper":{"title":"On quantum information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.IT","math.MP"],"primary_cat":"cs.IT","authors_text":"Adam Paszkiewicz, Tomasz Sobieszek","submitted_at":"2012-03-15T11:41:04Z","abstract_excerpt":"We investigate the following generalisation of the entropy of quantum measurement. Let H be an infinite-dimensional separable Hilbert space with a 'density' operator {\\rho}, tr {\\rho}=1. Let I(P)\\in R be defined for any partition P = (P_1,...,P_m), P_1+ ... +P_m=1_H, P_i \\in proj H$ and let I(P_i Qj, i \\leq m, j \\leq n) = I(P) + I(Q) for Q =(Q_1,..., Q_n), \\sum Q_j = 1_H and P_iQ_j = Q_j P_i, tr {\\rho} P_iQ_j = tr {\\rho} P_i tr {\\rho} Q_j (P, Q are physically independent). Assuming some continuity properties we give a general form of generalised information I."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3329","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"}