Abstract
July 4 - 15.20-16.10
H. Nagaoka
- Quantum Information Geometry and Statistical Inference on Quantum States
tatistical inference problems such as parameter estimation and hypothesis
testing on quantum states bring strong motivations to differential
geometrical study of a quantum state space just as in the classical
information geometry. I would like to talk about how such geometrical
concepts as Riemannian metric, duality of affine connections, autoparallel
submanifold (geodesic in particular), etc. are related to several basic
problems concerning statistical inference on quantum states. The talk is
partly based on a joint work with Akio Fujiwara.
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