{"paper":{"title":"Entanglement of Four-Qubit Rank-$2$ Mixed States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"DaeKil Park, Eylee Jung","submitted_at":"2015-05-23T01:57:07Z","abstract_excerpt":"It is known that there are three maximally entangled states $\\ket{\\Phi_1} = (\\ket{0000} + \\ket{1111}) / \\sqrt{2}$, $\\ket{\\Phi_2} = (\\sqrt{2} \\ket{1111} + \\ket{1000} + \\ket{0100} + \\ket{0010} + \\ket{0001}) / \\sqrt{6}$, and $\\ket{\\Phi_3} = (\\ket{1111} + \\ket{1100} + \\ket{0010} + \\ket{0001}) / 2$ in four-qubit system. It is also known that there are three independent measures ${\\cal F}^{(4)}_j \\hspace{.2cm} (j=1,2,3)$ for true four-way quantum entanglement in the same system. In this paper we compute ${\\cal F}^{(4)}_j$ and their corresponding linear monotones ${\\cal G}^{(4)}_j$ for three rank-two"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06261","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"}