An Isaac Newton Institute Workshop

Quantum Statistics - quantum measurements, estimation and related topics

Sufficiency in Quantum Statistical Inference

Author: Denes PETZ (Alfred Renyi Institute of Math., Budapest)

Abstract

Coarse-grining is a basic concept in mathematical statistics and its analogue may be defined in the formalism of quantum mechanics. In the lecture sufficiency of a coarse-graining is discussed with respect to a family of states. Charaterizations of sufficiency are given. The equality case for the strong subadditivity of the von Neumann entropy and the Koashi-Imoto theorem are among the applications. The lecture is partially based on joint work with Anna Jencova.

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