HAN Dong, SUN Hua-fei. Submanifolds of Curved Exponential Family in Quantum StatisticsJ. Transactions of Beijing institute of Technology, 2009, (10): 918-921.
Citation: HAN Dong, SUN Hua-fei. Submanifolds of Curved Exponential Family in Quantum StatisticsJ. Transactions of Beijing institute of Technology, 2009, (10): 918-921.

Submanifolds of Curved Exponential Family in Quantum Statistics

  • Quantum version of the curved exponential family is studiedwhere its dual structure with different metrics. As an important case the Kubo-Mori metric is introduced. The α -connections are set up so that the exponential family is ±1-affine with respect to the Kubo-Mori metric.
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