Monogamy and polygamy for multi-qubit entanglement using Rényi entropy

Details Monogamy and polygamy for multi-qubit entanglement using Rényi entropy Monogamy and polygamy for multi-qubit entanglement using Rényi entropy

2009-11-27

arxiv.org/abs/0911.5180v1

Journal of Physics A: Mathematical and Theoretical 43(44): 442305 (2010)

Physics

Quantum Physics

19 pages, 2 figures

Scientific paper

10.1088/1751-8113/43/44/445305

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
$0<\epsilon<0.01$.

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