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Quantum Engineering Year 1: Quantum Mechanics Core Month 22Day 598

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Year 1·Month 22·Week 2

Day 598: QFT Circuit Construction

Day 598 of 2,016~13 min read

Learning Objectives

•Define the controlled rotation gates $R_k$
•Derive the QFT circuit from the product representation
•Implement the complete QFT circuit with SWAP gates
•Analyze gate count and circuit depth
•Understand the bit-reversal in QFT output
•Compare approximate vs exact QFT

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Controlled Rotation Gates Deriving the Circuit from Product Representation The General Pattern Complete QFT Circuit 3 qubits QFT Circuit Algorithm With Explicit Gates n3 Gate Count Analysis SWAP Gate Implementation Approximate QFT

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