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.
In particular, under Assumption R1, Assumption R2 is equivalent to Assumption S2
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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.