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http://dx.doi.org/10.4134/JKMS.2012.49.3.623

FACIAL STRUCTURES FOR SEPARABLE STATES  

Choi, Hyun-Suk (Department of Mathematics Seoul National University)
Kye, Seung-Hyeok (Department of Mathematics and Institute of Mathematics Seoul National University)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.3, 2012 , pp. 623-639 More about this Journal
Abstract
The convex cone $\mathbb{V}_1$ generated by separable states is contained in the cone $\mathbb{T}$ of all positive semi-definite block matrices whose block transposes are also positive semi-definite. We characterize faces of the cone $\mathbb{V}_1$ induced by faces of the cone $\mathbb{T}$ which are determined by pairs of subspaces of matrices.
Keywords
separable states; faces; entanglement;
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