| Quantum entanglement is the most important natural resource for quantum comput-ing and quantum information.Through research,it is found that the resources of quantum entanglement cannot be freely shared in multipartite quantum systems.And this limita-tion is called monogamy relation of quantum entanglement.Monogamy relations can well depict the characterize of entanglement distribution in multipartite systems.Therefore,the monogamy relations of quantum entanglement are at the centre of research topic in recent years.Based on previous research,this paper constructs and proves an analytic in-equality.Then,by using this inequality,we investigate the tighter monogamy relations for the Tsallis-q and R（?）nyi-αentanglement in multipartite systems.Our paper is organized as follows:First,we briefly introduce the related concepts of quantum mechanics and the work arrangement of this paper.Second,the main lemma of this paper is given（lemma 2.1）.For the N qubit mixed stateρA|B1B2···BN-1,the functional relationship between Tsallis-q and R（?）nyi-αentangle-ment measures and concurrence is discussed.Then,through the inequality of lemma 2.1,the parameters of Tsallis-q and R（?）nyi-αentanglement measures are partially restricted.Consequently,we develop a class of monogamy relations in terms of Tsallis-q and R′enyi-αentanglement measures in multipartite systems.Examples are given to illustrate that the lower bound of the monogamous relationship is better than the existed lower bound.Then,for the density matrixρAj1···Ajmof GW state,using Lemma 2.1 to discuss the monogamy relations of Tsallis-q and R′enyi-αentanglement measures under arbitrary k（k≤m≤N）partition.Finally,the main content of this paper is summarized and the future research work is prospected. |
