Lower and upper bounds for entanglement of Rényi-$α$ entropy
arXiv:1604.02783 · doi:10.1038/s41598-016-0029-9
Abstract
Entanglement Rényi-$α$ entropy is an entanglement measure. It generalizes the entanglement of formation, and they coincide when $α$ tends to 1. We derive analytical lower and upper bounds for the entanglement Rényi-$α$ 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 Rényi-$α$ entropy and some other entanglement measures.
12 pages, 4 figures, published version