[Verse 1] Classical bits march in rigid formation Quantum states float in superposition Amplitudes wave through computational space While phases spin at their own unique pace [Chorus] QFT transforms the quantum sphere Hadamards map what frequencies appear Control-phase gates rotate by degrees Period finding holds the cryptographic keys Inverse Fourier brings us back Shor's algorithm stays on track [Verse 2] Input registers encode our mystery number Output qubits wait to discover Each controlled rotation shifts the phase By powers of two in quantum ways [Chorus] QFT transforms the quantum sphere Hadamards map what frequencies appear Control-phase gates rotate by degrees Period finding holds the cryptographic keys Inverse Fourier brings us back Shor's algorithm stays on track [Bridge] Tensor products weave the calculation Measurement collapses superposition Classical post-processing extracts the period RSA encryption becomes quite worried [Verse 3] Swap gates reverse the qubit order Fourier basis cross each border From time domain to frequency space Quantum parallelism wins the race [Final Chorus] QFT transforms the quantum sphere Hadamards map what frequencies appear Control-phase gates rotate by degrees Period finding holds the cryptographic keys Exponential speedup breaks the wall Classical security begins to fall [Outro] When quantum computers scale complete Every secret key will face defeat
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