Quantum Computing, Quantum Fourier Transform, Mathematics.
straightforward. Let’s take a deeper look into when x0=1. You can kind of see a Hadamard behavior in there, with an iota in the mix. How do we achieve this? You do it through matrix multiplication: So, to recap, you have a Hadamard gate regardless, whether x0=0 or x0=1. In the latter case, however,