Description of rank four PPT entangled states of two qutrits

Details Description of rank four PPT entangled states of two qutrits Description of rank four PPT entangled states of two qutrits

2011-05-16

arxiv.org/abs/1105.3142v2

J. Math. Phys. 52, 122203 (2011)

Physics

Quantum Physics

24 pages, 1 figure

Scientific paper

10.1063/1.3663837

It is known that some two qutrit entangled states of rank 4 with positive partial transpose [PPT] can be built from the unextendible product bases [UPB]. We show that this fact is indeed universal, namely all such states can be constructed from UPB. We also classify the 5-dimensional subspaces of two qutrits which contain only finitely many product states (up to scalar multiple), and in particular those spanned by a UPB.

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