Monogamy and polygamy for multi-qubit entanglement using R\'enyi entropy

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Kim, Jeong San
Sanders, Barry C.
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Using R\'enyi-$\alpha$ entropy to quantify bipartite entanglement, we prove monogamy of entanglement in multi-qubit systems for $\alpha \geq 2$. We also conjecture a polygamy inequality of multi-qubit entanglement with strong numerical evidence for $0.83-\epsilon \leq \alpha \leq 1.43+\epsilon$ with $0<\epsilon<0.01$.
Comment: 19 pages, 2 figures
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Quantum Physics
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