I want use qml.AmplitudeEmbedding to encode my data. And I know that the sum of squares of all inputs needs to be equal to 1. But when I use [1+0j, 0+1j, 1+0j, 0+0j] as the input, why I still set the normalize=True? I think 1^{2} + j^{2}+ 1^{2} + 0^{2}=1. Is there anything wrong? Any help would be greatly appreciated.

# Amplitude Encoding

Hi @cheng!

You’re forgetting that you need to take the norm of each of the numbers in your vector. It’s the sum of the squares of the **norms** of each value that must be equal to one.

Since | j | = 1 then | j |^2 = 1 so

| 1 |^2+| j |^2+| 1 |^2+| 0 |^2 = 1+1+1=3

This is why you need to set normalize=True