English

Non-full rank bound entangled states satisfying the range criterion

Quantum Physics 2009-11-10 v3

Abstract

A systematic method for generating bound entangled states in any bipartite system, with ranks ranging from five to full rank, is presented. These states are constructed by mixing separable states with UPB (Unextendible Product Basis) - generated PPT bound entangled states. A subset of this class of PPT bound entangled states, having less than full rank, is shown to satisfy the range criterion [Phys. Lett. A, vol. 232 (1997) 333].

Keywords

Cite

@article{arxiv.quant-ph/0406023,
  title  = {Non-full rank bound entangled states satisfying the range criterion},
  author = {Somshubhro Bandyopadhyay and Sibasish Ghosh and Vwani Roychowdhury},
  journal= {arXiv preprint arXiv:quant-ph/0406023},
  year   = {2009}
}

Comments

6 pages, Latex. Minor corrections and additions. More references added. Accepted for publication in Phys. Rev. A

R2 v1 2026-07-22T19:44:27.884Z