In this paper, we study the monogamy inequality of Tsallis $q$ -entropy entanglement. We first provide an analytic formula of Tsallis $q$ -entropy entanglement in two-qubit systems for $\frac{5\ensuremath{-}\sqrt{13}}{2}\ensuremath{\le}q\ensuremath{\le}\frac{5+\sqrt{13}}{2}.$ The analytic formula of Tsallis $q$ -entropy entanglement in $2\ensuremath{\bigotimes}d$ system is also obtained and we show that Tsallis $q$ -entropy entanglement satisfies a set of hierarchical monogamy equalities. Furthermore, we prove the squared Tsallis $q$ -entropy entanglement follows a general inequality in the qubit systems. Based on the monogamy relations, a set of multipartite entanglement indicators is constructed, which can detect all genuine multiqubit entangled states even in the case of $N$ -tangle vanishes. Moreover, we study some examples in multipartite higher-dimensional system for the monogamy inequalities.In this paper, we study the monogamy inequality of Tsallis $q$-entropy entanglement. We first provide an analytic formula of Tsallis $q$-entropy entanglement in two-qubit systems for $\frac{5\ensuremath{-}\sqrt{13}}{2}\ensuremath{\le}q\ensuremath{\le}\frac{5+\sqrt{13}}{2}.$ The analytic formula of Tsallis $q$-entropy entanglement in $2\ensuremath{\bigotimes}d$ system is also obtained and we show that Tsallis $q$-entropy entanglement satisfies a set of hierarchical monogamy equalities. Furthermore, we prove the squared Tsallis $q$-entropy entanglement follows a general inequality in the qubit systems. Based on the monogamy relations, a set of multipartite entanglement indicators is constructed, which can detect all genuine multiqubit entangled states even in the case of $N$-tangle vanishes. Moreover, we study some examples in multipartite higher-dimensional system for the monogamy inequalities.

arXiv:1604.07616Physical Review AJun 27, 201680 citations

Tighter monogamy relations for the Tsallis-q and Rényi- $α$ entanglement in multiqubit systemsTighter monogamy relations for the Tsallis-q and Rényi-$α$ entanglement in multiqubit systems

Rongxia Qi, Yanmin Yang, Jialing Zhang +1 more

Monogamy relations characterize the distributions of quantum entanglement in multipartite systems. In this work, we present some tighter monogamy relations in terms of the power of the Tsallis-q and Rényi- $α$ entanglement in multipartite systems. We show that these new monogamy relations of multipartite entanglement with tighter lower bounds than the existing ones. Furthermore, three examples are given to illustrate the tightness.Monogamy relations characterize the distributions of quantum entanglement in multipartite systems. In this work, we present some tighter monogamy relations in terms of the power of the Tsallis-q and Rényi-$α$ entanglement in multipartite systems. We show that these new monogamy relations of multipartite entanglement with tighter lower bounds than the existing ones. Furthermore, three examples are given to illustrate the tightness.

arXiv:2111.12367Nov 24, 20210 citations

In this paper, we study the monogamy inequality of Tsallis

q

-entropy entanglement. We first provide an analytic formula of Tsallis

q

-entropy entanglement in two-qubit systems for $\frac{5\ensuremath{-}\sqrt{13}}{2}\ensuremath{\le}q\ensuremath{\le}\frac{5+\sqrt{13}}{2}.$ The analytic formula of Tsallis

q

-entropy entanglement in $2\ensuremath{\bigotimes}d$ system is also obtained and we show that Tsallis

q

-entropy entanglement satisfies a set of hierarchical monogamy equalities. Furthermore, we prove the squared Tsallis

q

-entropy entanglement follows a general inequality in the qubit systems. Based on the monogamy relations, a set of multipartite entanglement indicators is constructed, which can detect all genuine multiqubit entangled states even in the case of

N

-tangle vanishes. Moreover, we study some examples in multipartite higher-dimensional system for the monogamy inequalities.

Tighter monogamy relations for the Tsallis-q and Rényi-

α

entanglement in multiqubit systems

α

entanglement in multipartite systems. We show that these new monogamy relations of multipartite entanglement with tighter lower bounds than the existing ones. Furthermore, three examples are given to illustrate the tightness.