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Quantum Engineering Year 1: Quantum Mechanics Core Month 22Day 597

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Year 1·Month 22·Week 2

Day 597: QFT Definition and Properties

Day 597 of 2,016~11 min read

Learning Objectives

•Define the Quantum Fourier Transform on computational basis states
•Understand the QFT as a unitary matrix
•Derive the product representation of QFT output states
•Compare QFT with classical DFT
•Recognize why QFT provides speedup (but with caveats)
•Understand the Fourier basis and its properties

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Definition of the Quantum Fourier Transform QFT as a Unitary Matrix Unitarity Verification Binary Representation and Fractions Product Representation of QFT Fourier Basis QFT vs Classical DFT Linearity of QFT

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