{"paper":{"title":"Genuine Multipartite Entanglement Measure Based on $\\alpha$-concurrence","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ke-Ke Wang, Shao-Ming Fei, Zhi-Wei Wei","submitted_at":"2025-05-09T12:29:53Z","abstract_excerpt":"Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite $\\alpha$-concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement (GME) measures G$\\alpha$C with one parameter $\\alpha$ for arbitrary multipartite states. We show that the G$\\alpha$C is of continuity for any multipartite pure states. By utilizing the related symmetry, analytical results of G$\\alpha$C are derived for any $n$-qubit GHZ states and W states, which show that the GHZ states are more genuinely entangled than the W "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.05998","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/2505.05998/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}