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quant-ph2011★ 37 cited
Geometry of the set of mixed quantum states: An apophatic approach
Ingemar Bengtsson, Stephan Weis, Karol Życzkowski
The set of quantum states consists of density matrices of order , which are hermitian, positive and normalized by the trace condition. We analyze the structure of this set in th…
math.MG2011
Duality of non-exposed faces
Stephan Weis
Given any polar pair of convex bodies we study its conjugate face maps and we characterize conjugate faces of non-exposed faces in terms of normal cones. The analysis is carried ou…
math-ph2011★ 24 cited
Quantum Convex Support
Stephan Weis
Convex support, the mean values of a set of random variables, is central in information theory and statistics. Equally central in quantum information theory are mean values of a se…