Unified entropy entanglement with tighter constraints on multipartite systems. (1st March 2023)

• Record Type: Journal Article
• Authors: Sun 孙, Qi 琪; Li 李, Tao 陶; Jin 靳, Zhi-Xiang 志祥; Liang 梁, Deng-Feng 登峰
• Is Part Of: Chinese physics B. Volume 32:Number 3(2023)
• Publication Date: 2023-03-01
• Subjects: entanglement -- monogamy relations -- polygamy relations; 03.67.Mn -- 03.65.Ud; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1674-1056/aca399
• Languages: English
• ISSNs: 1674-1056

Abstract

Abstract : Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We provide a characterization of multiqubit entanglement constraints in terms of unified-( q, s ) entropy. A class of tighter monogamy inequalities of multiqubit entanglement based on the α -th power of unified-( q, s ) entanglement for α ≥ 1 and a class of polygamy inequalities in terms of the β -th power of unified-( q, s ) entanglement of assistance are established in this paper. Our results present a general class of the monogamy and polygamy relations for bipartite entanglement measures based on unified-( q, s ) entropy, which are tighter than the existing ones. What is more, some usual monogamy and polygamy relations, such as monogamy and polygamy relations based on entanglement of formation, Renyi- q entanglement of assistance and Tsallis- q entanglement of assistance, can be obtained from these results by choosing appropriate parameters ( q, s ) in unified-( q, s ) entropy entanglement. Typical examples are also presented for illustration.