English

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

Quantum Physics 2017-03-07 v3

Abstract

Entanglement R\'enyi-α\alpha entropy is an entanglement measure. It generalizes the entanglement of formation, and they coincide when α\alpha tends to 1. We derive analytical lower and upper bounds for the entanglement R\'enyi-α\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-α\alpha entropy and some other entanglement measures.

Keywords

Cite

@article{arxiv.1604.02783,
  title  = {Lower and upper bounds for entanglement of R\'enyi-$\alpha$ entropy},
  author = {Wei Song and Lin Chen and Zhuo-Liang Cao},
  journal= {arXiv preprint arXiv:1604.02783},
  year   = {2017}
}

Comments

12 pages, 4 figures, published version