Episode 30 of The Quantum Computing Podcast with Fexingo dives into the latest milestone in quantum factoring: the 2026 demonstration of factoring a 1,099-digit integer using Shor's algorithm on a 256-qubit superconducting processor. Lucas and Luna break down why this is a bigger deal than previous records, how error mitigation made it possible, and what it means for RSA encryption timelines. They discuss the specific techniques used—zero-noise extrapolation and probabilistic error cancellation—and why the result is more about algorithmic maturity than breaking crypto tomorrow. No hype, just the numbers and the real road ahead.

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