New approach to Epsilon-entropy and Its comparison with Kolmogorov's Epsilon-entropy

Details New approach to Epsilon-entropy and Its comparison with Kolmogorov's Epsilon-entropy New approach to Epsilon-entropy and Its comparison with Kolmogorov's Epsilon-entropy

1998-06-08

arxiv.org/abs/quant-ph/9806027v2

Physics

Quantum Physics

17 pages, Latex, Submitted to Journal of Mathematical Physics

Scientific paper

Kolmogorov introduced a concept of Epsilon-entropy to analyze information in classical continuous system. The fractal dimension of geometrical sets was introduced by Mandelbrot as a new criterion to analyze the complexity of these sets. The Epsilon-entropy and the fractal dimension of a state in general quantum system were introduced by one of the present authors in order to characterize chaotic properties of general states. In this paper, we show that Epsilon-entropy of a state includes Kolmogorov Epsilon-entropy, and the fractal dimension of a state describe fractal structure of Gaussian measures.

Affiliated with

Also associated with

No associations

Rating

New approach to Epsilon-entropy and Its comparison with Kolmogorov's Epsilon-entropy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New approach to Epsilon-entropy and Its comparison with Kolmogorov's Epsilon-entropy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New approach to Epsilon-entropy and Its comparison with Kolmogorov's Epsilon-entropy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-412830