Possibilities and impossibilities in Kolmogorov complexity extraction

Details Possibilities and impossibilities in Kolmogorov complexity extraction Possibilities and impossibilities in Kolmogorov complexity extraction

2011-04-05

arxiv.org/abs/1104.0872v1

Computer Science

Computational Complexity

Survey paper published in SIGACT News, Dec. 2010

Scientific paper

Randomness extraction is the process of constructing a source of randomness of high quality from one or several sources of randomness of lower quality. The problem can be modeled using probability distributions and min-entropy to measure their quality and also by using individual strings and Kolmogorov complexity to measure their quality. Complexity theorists are more familiar with the first approach. In this paper we survey the second approach. We present the connection between extractors and Kolmogorov extractors and the basic positive and negative results concerning Kolmogorov complexity extraction.

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