{"paper":{"title":"General monogamy relation of multi-qubit systems in terms of squared R\\'{e}nyi-$\\alpha$ entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ming Yang, Mou Yang, Wei Song, Yan-kui Bai, Zhuo-Liang Cao","submitted_at":"2015-12-09T01:10:23Z","abstract_excerpt":"We prove that the squared R\\'{e}nyi-$\\alpha$ entanglement (SR$\\alpha$E), which is the generalization of entanglement of formation (EOF), obeys a general monogamy inequality in an arbitrary $N$-qubit mixed state. Furthermore, for a class of R\\'{e}nyi-$\\alpha$ entanglement, we prove that the monogamy relations of the SR$\\alpha$E have a hierarchical structure when the $N$-qubit system is divided into $k$ parties. As a byproduct, the analytical relation between the R\\'{e}nyi-$\\alpha$ entanglement and the squared concurrence is derived for bipartite $2\\otimes d$ systems. Based on the monogamy prope"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02711","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"}