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Quantum Physics

arXiv:1812.01134 (quant-ph)
[Submitted on 3 Dec 2018 ]

Title: Monogamy properties of qubit systems

Title: 量子比特系统的单态性质

Authors:Xue-Na Zhu, Shao-Ming Fei
Abstract: We investigate monogamy relations related to quantum entanglement for $n-$qubit quantum systems. General monogamy inequalities are presented to the $\beta$th $(\beta\in(0,2))$ power of concurrence, negativity and the convex-roof extended negativity, as well as the $\beta$th $(\beta\in(0,\sqrt{2}))$ power of entanglement of formation. These monogamy relations are complementary to the existing ones with different regions of parameter $\beta$. In additions, new monogamy relations are also derived which include the existing ones as special cases.
Abstract: We investigate monogamy relations related to quantum entanglement for $n-$qubit quantum systems. General monogamy inequalities are presented to the $\beta$th $(\beta\in(0,2))$ power of concurrence, negativity and the convex-roof extended negativity, as well as the $\beta$th $(\beta\in(0,\sqrt{2}))$ power of entanglement of formation. These monogamy relations are complementary to the existing ones with different regions of parameter $\beta$. In additions, new monogamy relations are also derived which include the existing ones as special cases.
Comments: 13pages, 2 figures
Subjects: Quantum Physics (quant-ph)
Cite as: arXiv:1812.01134 [quant-ph]
  (or arXiv:1812.01134v1 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.1812.01134
arXiv-issued DOI via DataCite
Journal reference: Quantum Information Processing (2019) 18:23
Related DOI: https://doi.org/10.1007/s11128-018-2136-y
DOI(s) linking to related resources

Submission history

From: Xue-Na Zhu [view email]
[v1] Mon, 3 Dec 2018 23:44:42 UTC (399 KB)
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