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

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dc.creatorInoue, Kei
dc.creatorMatsuoka, Takashi
dc.creatorOhya, Masanori
dc.date1998-06-08
dc.date1998-06-12
dc.date.accessioned2026-07-07T06:32:17Z
dc.date.available2026-07-07T06:32:17Z
dc.descriptionKolmogorov 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.
dc.description17 pages, Latex, Submitted to Journal of Mathematical Physics
dc.identifierhttps://arxiv.org/abs/quant-ph/9806027
dc.identifierhttp://arxiv.org/abs/quant-ph/9806027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98855
dc.subjectQuantum Physics
dc.titleNew approach to Epsilon-entropy and Its comparison with Kolmogorov's Epsilon-entropy
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