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Comment on 'Supervised quantum machine learning models are kernel methods'

arXiv
Authors: Rajiv Krishnakumar

Year

2026

Paper ID

76005

Status

Preprint

Abstract Read

~2 min

Abstract Words

86

Citations

N/A

Abstract

We identify a few small errors in the proof of Theorem 1 in M. Schuld, 'Supervised quantum machine learning models are kernel methods' (arXiv:2101.11020v2), Appendix A. These do not affect the validity of the theorem, but do matter if one wants to use the appendix to explicitly compute the Fourier coefficients of a quantum kernel. We give the corrected derivation, and additionally show that the paper's worked cosine-kernel example contains a second, unrelated error that happens to cancel the first, thereby coincidentally yielding the correct result.

Why This Paper Matters

  • This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We identify a few small errors in the proof of Theorem 1 in M.

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