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Entropy 2010, 12(7), 1799-1832; doi:10.3390/e12071799
Article

Roofs and Convexity

Institute for Theoretical Physics, University of Leipzig, PB 100 920, D-04009 Leipzig, Germany
Received: 5 June 2010 / Revised: 5 July 2010 / Accepted: 9 July 2010 / Published: 20 July 2010
(This article belongs to the Special Issue Quantum Information)
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Abstract

Convex roof extensions are widely used to create entanglement measures in quantum information theory. The aim of the article is to present some tools which could be helpful for their treatment. Sections 2 and 3 introduce into the subject. It follows descriptions of the Wootters' method, of the "subtraction procedure", and examples on how to use symmetries.
Keywords: roofs; convex roof extensions; entanglement measures roofs; convex roof extensions; entanglement measures
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Uhlmann, A. Roofs and Convexity. Entropy 2010, 12, 1799-1832.

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