{"paper":{"title":"Non-Gaussian Entanglement Hierarchy Based on the Schmidt Number","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jiajie Guo, Matteo Fadel, Qiongyi He, Shuheng Liu","submitted_at":"2026-05-18T16:15:17Z","abstract_excerpt":"Non-Gaussian entanglement is a promising resource in various quantum tasks. A recently defined class identifies entanglement that cannot be generated by applying Gaussian operations to separable inputs. To further explore the entanglement in this context, we introduce a quantitative witness $E_{\\rm NG}$ in bipartite bosonic systems, which satisfies $E_{\\rm NG}=1$ for all Gaussian-entanglable states, while $E_{\\rm NG}>1$ certifies non-Gaussian entanglement. Its ceiling $d=\\lceil E_{\\rm NG}\\rceil$ provides a lower bound on the Schmidt number irreducible by Gaussian transformations, thereby defin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18605","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.18605/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-20T00:01:59.247299Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"02002209ff679b40db2b0ae49dc122ed868e80e01f048ab42efb9937230f72e9"},"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"}