21 lines
566 B
Markdown
21 lines
566 B
Markdown
A mathematical technique that decomposes a function into its constituent frequencies.
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## Definition
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![[Pasted image 20260730181449.png]]
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The transformation is a process that takes a periodic vector as an input and outputs
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the period of that vector.
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![[Pasted image 20260730181941.png]]
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## Construction
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We will now model DFT as a quantum circuit.
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For this we only look at N = $2^n$, DFT applied on n qubits.
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![[Pasted image 20260730182117.png]]
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Let us look at an example DFT for n = 3:
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![[Pasted image 20260730183136.png]]
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![[Pasted image 20260730183145.png]]
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