Tighter constraints of multiqubit entanglement in terms of R\'{e}nyi-$\alpha$ entropy

• URL: http://arxiv.org/abs/2006.08853v1
• Date: Tue, 16 Jun 2020 01:05:21 GMT
• Title: Tighter constraints of multiqubit entanglement in terms of R\'{e}nyi-$\alpha$ entropy
• Authors: Meng-Li Guo, Bo-Li, Zhi-Xi Wang and Shao-Ming Fei
• Abstract summary: monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems. We present a class of monogamy inequalities related to the $mu$th power of the entanglement measure. These monogamy and polygamy relations are shown to be tighter than the existing ones.
• Score: 5.316931601243777
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum entanglement plays essential roles in quantum information processing. The monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems. We present a class of monogamy inequalities related to the $\mu$th power of the entanglement measure based on R\'{e}nyi-$\alpha$ entropy, as well as polygamy relations in terms of the $\mu$th powered of R\'{e}nyi-$\alpha$ entanglement of assistance. These monogamy and polygamy relations are shown to be tighter than the existing ones.

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