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arXiv · 1105.3142

Description of rank four PPT entangled states of two qutrits

Lin Chen·Dragomir Z. Djokovic
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Abstract

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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Lin Chen, Dragomir Z. Djokovic. 2011-11-05. Description of rank four PPT entangled states of two qutrits. https://doi.org/10.1063/1.3663837

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