Information Geometry, by R. F. Streater
Contribution to the Conference on Quantum Communication and Computing,
Kyoto, 25-27 Jan., 2000. Proceeding edited by M. Ohya and N. Watanabe.
ABSTRACT
A brief summary of Fisher information in estimation theory and its quantum
analogue is followed by a construction of the information manifold in
quantum theory, with an infinite-dimansional Hilbert space. It covers the
case of a free system in a finite volume, perturbed by a Kato-small
potential. I show that the partition function is analytic in a
neighbourhood of zero-coupling.
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Written by RFS, 14/02/2000