SVC with an RBF kernel in Scikit-learn efficiently handles non-linear classification by mapping input features into a higher-dimensional space where classes become linearly separable.
Here is the code snippet you can refer to:

In the above code we are using the following key points:
- Uses make_moons to generate a non-linear dataset.
- Applies the RBF kernel in SVC to capture complex decision boundaries.
- Evaluates model accuracy and visualizes decision boundaries.
Hence, SVC with an RBF kernel in Scikit-learn effectively classifies non-linear data by transforming it into a higher-dimensional space where it becomes linearly separable.