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arXiv · 1604.02783

Lower and upper bounds for entanglement of R\'enyi-$\alpha$ entropy

Wei Song·Lin Chen·Zhuo-Liang Cao
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Abstract

Entanglement R\'enyi-$\alpha$ entropy is an entanglement measure. It generalizes the entanglement of formation, and they coincide when $\alpha$ tends to 1. We derive analytical lower and upper bounds for the entanglement R\'enyi-$\alpha$ entropy of arbitrary dimensional bipartite quantum systems. We also demonstrate the application our bound for some concrete examples. Moreover, we establish the relation between entanglement R\'enyi-$\alpha$ entropy and some other entanglement measures.

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Wei Song, Lin Chen, Zhuo-Liang Cao. 2016-04-11. Lower and upper bounds for entanglement of R\'enyi-$\alpha$ entropy. https://doi.org/10.1038/s41598-016-0029-9

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