HomeQuantum PhysicsQRNG Min-Entropy Certification & Toeplitz Extraction (2D)

QRNG Min-Entropy Certification & Toeplitz Extraction (2D)

An interactive 2D flow diagram of a quantum random number generator: watch a raw Markov-correlated bitstream, its live min-entropy certificate, and a real Toeplitz-hashing extractor matrix compress it into shorter certified-uniform output bits.

Quantum Physics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version
2d-qe-topic-98 ↗ Open standalone

Hardware quantum random number generators never emit perfectly random bits straight from the detector — imbalance and correlation in the physical source leave a raw stream that is only partially unpredictable. This 2D flow-diagram version models that raw stream as an order-1 Markov source, estimates its min-entropy per bit live from bias and correlation controls, and animates a genuine Toeplitz-hashing randomness extractor — a real GF(2) matrix-vector multiply built from a public seed, rendered as a pannable bit-matrix heatmap — compressing the raw block into a shorter, certified-uniform output.

⚙ Under the hood

An interactive 2D flow diagram of a quantum random number generator: watch a raw Markov-correlated bitstream, its live min-entropy certificate, and a real Toeplitz-hashing extractor matrix compress it into shorter certified-uniform output bits.

quantumQRNGentropycryptographyrandomness extractionToeplitz hashing

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install

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