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Log-affine geodesics in the manifold of vector states on a von Neumann algebra
Jan Naudts · 2019-01-15 · via math.PR updates on arXiv.org

This paper introduces the notion of a log-affine geodesic connecting two vector states on a von Neumann algebra. The definition is linked to the standard notion of Boltzmann-Gibbs states in statistical physics and the related notion of quantum statistical manifolds. In the abelian case it is linked to the notion of exponential tangent spaces.

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