[Verse 1] Peter Shor discovered something strange in ninety-four A quantum path to shatter what we thought was safe before RSA's mighty fortress built on numbers prime and tall Could crumble when the qubits start their exponential crawl [Chorus] Period finding, order seeking, quantum states entangled Modular arithmetic where classical minds get tangled Shor's algorithm dancing through the superposition maze Two-oh-four-eight bit keys dissolving in quantum phase [Verse 2] Start with N equals p times q, the product we must break Choose random A, then find the period that powers make A to the R mod N equals one, the cycle we pursue Quantum Fourier transforms reveal what classical cannot do [Chorus] Period finding, order seeking, quantum states entangled Modular arithmetic where classical minds get tangled Shor's algorithm dancing through the superposition maze Two-oh-four-eight bit keys dissolving in quantum phase [Bridge] Hadamard gates prepare the ground Controlled operations spinning round Measure once and collapse the dream But interference patterns gleam Greatest common divisor's gift Reveals the factors through the drift [Verse 3] Where classical computers need exponential time to crawl Shor's method needs just polynomial steps to breach the wall Each qubit doubles quantum power, scaling up the threat The cryptographic winter that we haven't weathered yet [Chorus] Period finding, order seeking, quantum states entangled Modular arithmetic where classical minds get tangled Shor's algorithm dancing through the superposition maze Two-oh-four-eight bit keys dissolving in quantum phase [Outro] When quantum computers reach the scale RSA's protection turns quite frail Post-quantum crypto must arise Before Shor's algorithm flies
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