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arXiv:1905.02952 · Communications in Theoretical Physics

Tighter monogamy relations of multiqubit entanglement in terms of Rényi- α entanglement

Li-Min Gao, Feng-Li Yan, Ting Gao

Published Jul 15, 2020• 10 citations
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Abstract

Abstract We explore the existence of monogamy relations in terms of Rényi- α entanglement. By using the power of the Rényi- α entanglement, we establish a class of tight monogamy relations of multiqubit entanglement with larger lower bounds than the existing monogamy relations for α ≥ 2, the power η > 1, and 2 > α ≥ 7 − 1 2 , the power η > 2, respectively.

DOI
10.1088/1572-9494/ab7ece

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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.