{"paper":{"title":"Separability Criterion for Density Matrices","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Asher Peres","submitted_at":"1996-04-08T08:37:37Z","abstract_excerpt":"A quantum system consisting of two subsystems is separable if its density matrix can be written as $\\rho=\\sum_A w_A\\,\\rho_A'\\otimes\\rho_A''$, where $\\rho_A'$ and $\\rho_A''$ are density matrices for the two subsytems. In this Letter, it is shown that a necessary condition for separability is that a matrix, obtained by partial transposition of $\\rho$, has only non-negative eigenvalues. This criterion is stronger than Bell's inequality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9604005","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"}