Files
ObsidianVault/SS2026/Quantum Computing/10. Discrete Fourier Transformation/Discrete Fourier Transformation.md
T

566 B

A mathematical technique that decomposes a function into its constituent frequencies.

Definition

!Pasted image 20260730181449.png

The transformation is a process that takes a periodic vector as an input and outputs the period of that vector.

!Pasted image 20260730181941.png

Construction

We will now model DFT as a quantum circuit. For this we only look at N = 2^n, DFT applied on n qubits.

!Pasted image 20260730182117.png

Let us look at an example DFT for n = 3: !Pasted image 20260730183136.png !Pasted image 20260730183145.png