Canonical Divergence for Flat α-Connections: Classical and Quantum

@article{Felice2019CanonicalDF,
  title={Canonical Divergence for Flat $\alpha$-Connections: Classical and Quantum},
  author={Domenico Felice and Nihat Ay},
  journal={Entropy},
  year={2019},
  volume={21}
}
A recent canonical divergence, which is introduced on a smooth manifold M endowed with a general dualistic structure (g,∇,∇*), is considered for flat α-connections. In the classical setting, we compute such a canonical divergence on the manifold of positive measures and prove that it coincides with the classical α-divergence. In the quantum framework, the recent canonical divergence is evaluated for the quantum α-connections on the manifold of all positive definite Hermitian operators. In this… 
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