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.
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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.