A construction of a nonparametric quantum information manifold

Details A construction of a nonparametric quantum information manifold A construction of a nonparametric quantum information manifold

2005-11-21

arxiv.org/abs/math-ph/0511065v1

Physics

Mathematical Physics

17 pages

Scientific paper

We present a construction of a Banach manifold on the set of faithful normal
states of a von Neumann algebra, where the underlying Banach space is a quantum
analogue of an Orlicz space. On the manifold, we introduce the exponential and
mixture connections as dual pair of affine connections.

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