Polygamy relations of multipartite entanglement beyond qubits

Zhi-Xiang Jin and Shao-Ming Fei

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Submission date: 13. Jul. 2019
Pages: 8
published in: Journal of physics / A, 52 (2019) 16, art-no. 165303 
DOI number (of the published article): 10.1088/1751-8121/ab0ed9
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Abstract:
We investigate the polygamy relations related to the concurrence of assistance for any multipartite pure states. General polygamy inequalities given by the αth (0 ≤ α ≤ 2) power of concurrence of assistance is first presented for multipartite pure states in arbitrary-dimensional quantum systems. We further show that the general polygamy inequalities can even be improved to be tighter inequalities under certain conditions on the assisted entanglement of bipartite subsystems. Based on the improved polygamy relations, lower bound for distribution of bipartite entanglement is provided in a multipartite system. Moreover, the βth (0 ≤ β ≤ 1) power of polygamy inequalities are obtained for the entanglement of assistance as a by-product, which are shown to be tighter than the existing ones. A detailed example is presented.