Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.3663837
Title: Description of rank four entangled states of two qutrits having positive partial transpose
Authors: Chen, L. 
Doković, D.Ž.
Issue Date: 20-Dec-2011
Source: Chen, L., Doković, D.Ž. (2011-12-20). Description of rank four entangled states of two qutrits having positive partial transpose. Journal of Mathematical Physics 52 (12) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.3663837
Abstract: It is known that some two-qutrit entangled states of rank 4 with positive partial transpose can be built from the unextendible product bases (UPB) [C. H. Bennett, D. P. DiVincenzo, T. Mor W. Shor, J. A. Smolin, and B. M. Terhal, Phys. Rev. Lett.82, 5385 (1999)]. We show that this fact is indeed universal, namely, all such states can be constructed from UPB as conjectured recently by Leinaas, Myrheim, and Sollid. We also classify the five-dimensional subspaces of two qutrits which contain only finitely many product states (up to scalar multiple), and in particular those spanned by an UPB. © 2011 American Institute of Physics.
Source Title: Journal of Mathematical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/112412
ISSN: 00222488
DOI: 10.1063/1.3663837
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