Abstract Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We investigate the monogamy and polygamy relations with respect to any partitions for a superposition of the generalized W -class state and vacuum in terms of the Tsallis- q entanglement and the Rényi- α entanglement. By using the Hamming weight of the binary vectors related to the partitions of the subsystems, new classes of monogamy and polygamy inequalities are derived, which are shown to be tighter than the existing ones. Detailed examples are presented to illustrate the finer characterization of entanglement distributions.Abstract Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We investigate the monogamy and polygamy relations with respect to any partitions for a superposition of the generalized W -class state and vacuum in terms of the Tsallis- q entanglement and the Rényi- α entanglement. By using the Hamming weight of the binary vectors related to the partitions of the subsystems, new classes of monogamy and polygamy inequalities are derived, which are shown to be tighter than the existing ones. Detailed examples are presented to illustrate the finer characterization of entanglement distributions.

arXiv:2109.11272Journal of Physics A Mathematical and TheoreticalSep 7, 20216 citations

Upper and lower bounds for Tsallis-q entanglement measure

Mahboobeh Moslehi, Hamid Reza Baghshahi, Sayyed Yahya Mirafzali

Quantum Information ProcessingNov 1, 20204 citations

ON GENERALIZED ENTANGLEMENT

Takashi Matsuoka

Quantum Bio-InformaticsMar 1, 20082 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

Tighter monogamy relations in multiqubit systems

Zhi‐Xiang Jin, Jun Li, Tao Li +1 more

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence $C$ , the entanglement of formation $E$ , negativity ${N}_{c}$ , and Tsallis- $q$ entanglement ${T}_{q}$ . Monogamy relations for the $\ensuremath{\alpha}\mathrm{th}$ power of entanglement have been derived, which are tighter than the existing entanglement monogamy relations for some classes of quantum states. Detailed examples are presented.Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence $C$, the entanglement of formation $E$, negativity ${N}_{c}$, and Tsallis-$q$ entanglement ${T}_{q}$. Monogamy relations for the $\ensuremath{\alpha}\mathrm{th}$ power of entanglement have been derived, which are tighter than the existing entanglement monogamy relations for some classes of quantum states. Detailed examples are presented.

arXiv:1803.11355Physical Review AMar 26, 201874 citations

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.

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence

C

, the entanglement of formation

E

, negativity

{N}_{c}

, and Tsallis-

q

entanglement

{T}_{q}

. Monogamy relations for the $\ensuremath{\alpha}\mathrm{th}$ power of entanglement have been derived, which are tighter than the existing entanglement monogamy relations for some classes of quantum states. Detailed examples are presented.