Non-full rank bound entangled states satisfying the range criterion

Details Non-full rank bound entangled states satisfying the range criterion Non-full rank bound entangled states satisfying the range criterion

2004-06-03

arxiv.org/abs/quant-ph/0406023v3

Phys. Rev. A, vol. 71, 012316 (2005)

Physics

Quantum Physics

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

Scientific paper

10.1103/PhysRevA.71.012316

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].

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