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Foundations

Entropy testing: manual vs. quantum-random

Feed in a bit string by hand or pull live bits from a quantum random number generator, then see Shannon entropy alongside three real NIST SP 800-90B min-entropy estimators, side by side.

This tool implements 3 of the 10 non-IID min-entropy estimators from NIST SP 800-90B (Most Common Value, Collision, and Markov — §6.3.1–6.3.3), ported directly from NIST's own reference implementation. It skips the remaining 7 non-IID estimators and the IID permutation-testing track, and runs on short interactive input rather than the ≥1,000,000-sample sequences NIST's own validation uses. See "What's happening under the hood" below for the exact formulas and a note on min-entropy vs. Shannon entropy.