For adversarially trained quantum classifiers, the excess sample complexity over standard training vanishes with input dimension for rotation embeddings under classical attacks, scales at least linearly for amplitude embeddings, and depends only on Hilbert space dimension under quantum attacks.
To this end, the following proposition upper bounds the scaled excess RCSC r,p,ϵ for the quantum embeddings introduced in Section II A
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On the Generalization of Adversarially Trained Quantum Classifiers
For adversarially trained quantum classifiers, the excess sample complexity over standard training vanishes with input dimension for rotation embeddings under classical attacks, scales at least linearly for amplitude embeddings, and depends only on Hilbert space dimension under quantum attacks.