English

Toward an understanding of entanglement for generalized n-qubit W-states

Quantum Physics 2015-05-13 v3

Abstract

We solve stationarity equations of the geometric measure of entanglement for multi-qubit W-type states. In this way we compute analytically the maximal overlap of one-parameter nn-qubit and two-parameter four-qubit W-type states and their nearest product states. Possible extensions to arbitrary W-type states and geometrical interpretations of these results are discussed in detail.

Keywords

Cite

@article{arxiv.0806.1314,
  title  = {Toward an understanding of entanglement for generalized n-qubit W-states},
  author = {Levon Tamaryan and Hungsoo Kim and Eylee Jung and Mi-Ra Hwang and DaeKil Park and Sayatnova Tamaryan},
  journal= {arXiv preprint arXiv:0806.1314},
  year   = {2015}
}

Comments

V1:10 pages, 3 figures V2: 14 pages, one more section is added for the computation of the maximal overlap probability for the two-parametric W-state in 4-qubit system V3: 17 pages, one more 3-dimensional figure is added. Geometric interpretation of the maximal overlap probability is more clearly discussed