vault backup: 2026-07-30 18:21:07

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SS2026/Quantum Computing/10. Discrete Fourier Transformation/Discrete Fourier Transformation.md

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+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.