Infinite Dimensional Quantum Information Geometry

Physics – Mathematical Physics

Scientific paper

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Proceedings of the Disordered and Complex Systems, King's College, London, 10-14 July 2000 (satellite meeting of the ICMP2000)

Scientific paper

10.1063/1.1358175

We present the construction of an infinite dimensional Banach manifold of
quantum mechanical states on a Hilbert space H using different types of small
perturbations of a given Hamiltonian. We provide the manifold with a flat
connection, called the exponential connection, and comment on the possibility
of introducing the dual mixture connection.

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