{"paper":{"title":"Extensions of Generalized Two-Qubit Separability Probability Analyses to Higher Dimensions, Additional Measures and New Methodologies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"quant-ph","authors_text":"Paul B. Slater","submitted_at":"2018-09-24T16:38:31Z","abstract_excerpt":"We first seek the rebit-retrit counterpart to the (formally proven by Lovas and Andai) two-rebit Hilbert-Schmidt separability probability of $\\frac{29}{64} =\\frac{29}{2^6} \\approx 0.453125$ and the qubit-qutrit analogue of the (strongly supported) value of $\\frac{8}{33} = \\frac{2^3}{3 \\cdot 11} \\approx 0.242424$. We advance the possibilities of a rebit-retrit value of $\\frac{860}{6561} =\\frac{2^2 \\cdot 5 \\cdot 43}{3^8} \\approx 0.131078$ and a qubit-qutrit one of $\\frac{27}{1000} = (\\frac{3}{10})^3 =\\frac{3^3}{2^3 \\cdot 5^3} = 0.027$. These four values for $2 \\times m$ systems ($m=2,3$) suggest"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09040","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"}