AI 中文总结
本文针对《监督量子机器学习模型是核方法》的定理1证明及余弦核示例的错误进行修正，指出两处错误巧合抵消得到正确结果，为量子核傅里叶系数计算提供修正推导。
AI 中文摘要
我们指出了M. Schuld在论文《监督量子机器学习模型是核方法》（arXiv:2101.11020v2）附录A中定理1证明的几处小错误。这些错误不影响定理的有效性，但如果要利用该附录显式计算量子核的傅里叶系数，就会产生影响。我们给出了修正后的推导，还表明该论文中已算过的余弦核示例存在第二个不相关的错误，该错误恰好抵消了第一个错误，从而巧合地得到了正确结果。
英文摘要
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.
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