3 problems
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Randomness-extractor conjecture for biased normal and Bernoulli-random reals
Randomness-extractor conjecture. There is a generalization of von Neumann's randomness extractor which computes normal reals from biased normal reals and -Martin-Löf rando…
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Ta-Shma's conjecture on the error dependence of strong quantum-proof extractors
Ta-Shma's conjecture. The error dependence for strong quantum-proof extractors should be .
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Perfect duality between random number generation and separate source coding
Random number generation extracts uniform randomness from a source, while separate lossless source coding compresses correlated sources using random bins; the former is typically a…