Sufficient statistic and Rao-Blackwell theorem in quantum probability

Article Type

Research Article

Publication Title

Infinite Dimensional Analysis, Quantum Probability and Related Topics

Abstract

In the decision-theoretic foundation of Classical Statistics, the idea and concept of a sufficient statistic play a central role. Here a parallel concept of a sufficient statistic in quantum probability is proposed and as a consequence, various levels of "quantum Rao-Blackwell theorem"are proven.

DOI

10.1142/S0219025722400057

Publication Date

12-1-2022

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