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Comment on "Separable states with unique decompositions"

Fri, 2013-12-06 15:42 - Daniel Cavalcanti
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Date: 
2013-12-06
Author(s): 

R. Augusiak, J. Bae, J. Tura, M. Lewenstein

Reference: 

arXiv:1304.2040 [quant-ph]

URL: 

http://arxiv.org/abs/1304.2040

In the recent paper [K.-C. Ha and S.-H. Kye, Separable states with unique decompositions, arXiv:1210.1088], Ha and Kye claim to find a decomposable optimal entanglement witness that disproves the conjecture that structural physical approximations to optimal entanglement witnesses are separable states. It is the main aim of this note to show, both analytically and numerically, that the presented witness is not optimal, and as such is not a counterexample to the above conjecture.