Duality in Quantum Information Geometry |
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Authors: | Streater R. F. |
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Affiliation: | (1) Dept. of Mathematics, King's College London, UK |
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Abstract: | Let H be a separable Hilbert space. We consider the manifold M consisting of density operators on H such that p is of trace class for some p (0, 1). We say M is nearby if there exists C > 1 such that C–1C. We show that the space of nearby points to can be furnished with the two flat connections known as the (±)-affine structures, which are dual relative to the BKM metric. We furnish M with a norm making it into a Banach manifold. |
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