{"paper":{"title":"Universal Probability Distribution for the Wave Function of a Quantum System Entangled with Its Environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Christian Mastrodonato, Joel L. Lebowitz, Nino Zanghi, Roderich Tumulka, Sheldon Goldstein","submitted_at":"2011-04-28T19:36:59Z","abstract_excerpt":"A quantum system (with Hilbert space $\\mathscr{H}_1$) entangled with its environment (with Hilbert space $\\mathscr{H}_2$) is usually not attributed a wave function but only a reduced density matrix $\\rho_1$. Nevertheless, there is a precise way of attributing to it a random wave function $\\psi_1$, called its conditional wave function, whose probability distribution $\\mu_1$ depends on the entangled wave function $\\psi\\in\\mathscr{H}_1\\otimes\\mathscr{H}_2$ in the Hilbert space of system and environment together. It also depends on a choice of orthonormal basis of $\\mathscr{H}_2$ but in relevant c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5482","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"}