Quantum proper scoring rules are constructed via operator-convex generators, yielding a Quantum Cramér-Rao-McCarthy bound that ties minimax risk in state tomography to the curvature of the generator and the quantum Fisher information while quantifying resource advantages over classical strategies.
Bregman divergence based em algorithm and its application to classical and quantum rate distortion theory.IEEE Transactions on Information Theory, 69(6), 3460 – 3492
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Quantum Proper Scoring Rules: Minimax Estimation and Resource-Theoretic Advantages
Quantum proper scoring rules are constructed via operator-convex generators, yielding a Quantum Cramér-Rao-McCarthy bound that ties minimax risk in state tomography to the curvature of the generator and the quantum Fisher information while quantifying resource advantages over classical strategies.