English

Classification of GHZ-type, W-type and GHZ-W-type multiqubit entanglements

Quantum Physics 2009-11-13 v1

Abstract

We propose the concept of SLOCC-equivalent basis (SEB) in the multiqubit space. In particular, two special SEBs, the GHZ-type and the W-type basis are introduced. They can make up a more general family of multiqubit states, the GHZ-W-type states, which is a useful kind of entanglement for quantum teleporatation and error correction. We completely characterize the property of this type of states, and mainly classify the GHZ-type states and the W-type states in a regular way, which is related to the enumerative combinatorics. Many concrete examples are given to exhibit how our method is used for the classification of these entangled states.

Keywords

Cite

@article{arxiv.quant-ph/0605196,
  title  = {Classification of GHZ-type, W-type and GHZ-W-type multiqubit entanglements},
  author = {Lin Chen and Yi-Xin Chen},
  journal= {arXiv preprint arXiv:quant-ph/0605196},
  year   = {2009}
}

Comments

16 pages, Revtex