31 citations · 78 across the 3 of their papers we have counts for
4 papers
Low rank positive partial transpose states and their relation to product vectors
Leif Ove Hansen, Andreas Hauge, Jan Myrheim +1
It is known that entangled mixed states that are positive under partial transposition (PPT states) must have rank at least four. In a previous paper we presented a classification o…
Unextendible product bases and extremal density matrices with positive partial transpose
Per Øyvind Sollid, Jon Magne Leinaas, Jan Myrheim
In bipartite quantum systems of dimension 3x3 entangled states that are positive under partial transposition (PPT) can be constructed with the use of unextendible product bases (UP…
Low rank extremal PPT states and unextendible product bases
Jon Magne Leinaas, Jan Myrheim, Per Øyvind Sollid
It is known how to construct, in a bipartite quantum system, a unique low rank entangled mixed state with positive partial transpose (a PPT state) from an unextendible product basi…
Numerical studies of entangled PPT states in composite quantum systems
Jon Magne Leinaas, Jan Myrheim, Per Oyvind Sollid
We report here on the results of numerical searches for PPT states with specified ranks for density matrices and their partial transpose. The study includes several bipartite quant…