[Verse 1] Classical machines count every single path Brute force through billions, do the math RSA keys like fortress walls stand tall But exponential time will stall them all Two to the power of n bits they must explore Each doubling makes the search times soar [Chorus] Quantum qubits cut through crypto locks Superposition breaks what classical blocks Shor's algorithm slices through the prime What takes millennia, done in polynomial time Remember this: it's not about the speed It's complexity class - that's what we need [Verse 2] Grover's search halves the security space Square root advantage sets the pace AES-256 becomes 128 strong When quantum circuits prove us wrong Classical computers climb the mountain steep While quantum tunnels burrow deep [Chorus] Quantum qubits cut through crypto locks Superposition breaks what classical blocks Shor's algorithm slices through the prime What takes millennia, done in polynomial time Remember this: it's not about the speed It's complexity class - that's what we need [Bridge] BQP versus P and NP complete Factoring integers, discrete log defeat Classical scales like towers reaching sky Quantum scales gentle, logarithms fly Entanglement weaves through solution space Parallel worlds in computational race [Verse 3] Error correction keeps the qubits clean Fault tolerance builds the quantum machine But classical crypto still has its day Post-quantum algorithms lead the way Lattice problems, hash-based schemes remain When quantum dawn breaks classical reign [Chorus] Quantum qubits cut through crypto locks Superposition breaks what classical blocks Shor's algorithm slices through the prime What takes millennia, done in polynomial time Remember this: it's not about the speed It's complexity class - that's what we need [Outro] From exponential walls to polynomial gates The quantum revolution calculates Not faster chips but different paradigms Complexity theory draws the lines
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