{"paper":{"title":"The Reconstruction Problem and Weak Quantum Values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Maurice de Gosson, Serge de Gosson","submitted_at":"2011-12-25T09:59:14Z","abstract_excerpt":"Quantum Mechanical weak values are an interference effect measured by the cross-Wigner transform W({\\phi},{\\psi}) of the post-and preselected states, leading to a complex quasi-distribution {\\rho}_{{\\phi},{\\psi}}(x,p) on phase space. We show that the knowledge of {\\rho}_{{\\phi},{\\psi}}(z) and of one of the two functions {\\phi},{\\psi} unambiguously determines the other, thus generalizing a recent reconstruction result of Lundeen and his collaborators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5773","kind":"arxiv","version":2},"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"}