English

Tsallis entropy and general polygamy of multi-party quantum entanglement in arbitrary dimensions

Quantum Physics 2017-01-04 v1

Abstract

We establish a unified view to the polygamy of multi-party quantum entanglement in arbitrary dimensions. Using quantum Tsallis-qq entropy, we provide a one-parameter class of polygamy inequalities of multi-party quantum entanglement. This class of polygamy inequalities reduces to the known polygamy inequalities based on tangle and entanglement of assistance for a selective choice of the parameter qq. We further provide one-parameter generalizations of various quantum correlations based on Tsallis-qq entropy. By investigating the properties of the generalized quantum correlations, we provide a sufficient condition, on which the Tsallis-qq polygamy inequalities hold in multi-party quantum systems of arbitrary dimensions.

Keywords

Cite

@article{arxiv.1612.04480,
  title  = {Tsallis entropy and general polygamy of multi-party quantum entanglement in arbitrary dimensions},
  author = {Jeong San Kim},
  journal= {arXiv preprint arXiv:1612.04480},
  year   = {2017}
}

Comments

9 + 4 pages, no figure, to appear in Physical Review A