What is the quantum Fourier transform?

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What is the quantum Fourier transform?

The quantum Fourier transform (QFT) is a quantum algorithm that performs a Fourier transform on a quantum state. It is a fundamental component of many quantum algorithms, including Shor's algorithm for factoring large numbers and quantum phase estimation. The QFT maps the amplitudes of a quantum state in the computational basis to their corresponding Fourier coefficients, allowing for efficient analysis and manipulation of quantum information.