Lower and upper bounds for entanglement of R\'enyi-α entropy
Abstract
Entanglement R\'enyi-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 R\'enyi-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 R\'enyi-α entropy and some other entanglement measures.
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