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Tighter Weighted Relations of the Tsallis-q Entanglement

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Monogamy and polygamy relations characterize the distribution of entanglement for multipartite systems. In this paper, we establish a class of tighter weighted monogamy relations of multi-qubit entanglement based on the… Click to show full abstract

Monogamy and polygamy relations characterize the distribution of entanglement for multipartite systems. In this paper, we establish a class of tighter weighted monogamy relations of multi-qubit entanglement based on the α th-power of Tsallis-q entanglement(TE) for α ≥ 1 and 2 ≤ q ≤ 3. And for 0 ≤ α ≤ 1 and 1 ≤ q ≤ 2 or 3 ≤ q ≤ 4, the α th-power of Tsallis-q entanglement of assistance(TEoA) follows a class of tighter weighted polygamy relations. For α < 0, the corresponding monogamy and polygamy relations are also given, respectively.

Keywords: tsallis entanglement; relations tsallis; tighter weighted; weighted relations; polygamy relations

Journal Title: International Journal of Theoretical Physics
Year Published: 2019

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