The authors define quantum generalization and training losses via classical shadows and prove that QWAIC is an asymptotically unbiased estimator of the quantum generalization loss for singular quantum state models.
Before introducing the real log canonical thresholds, let us briefly recall the results on the log resolution of singularities, originally proved by Hironaka [88, 89]
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Statistical inference for quantum singular models
The authors define quantum generalization and training losses via classical shadows and prove that QWAIC is an asymptotically unbiased estimator of the quantum generalization loss for singular quantum state models.