Composition laws for entropy and temperature in tree-like graphs

  • Authors:
  • G. Jumarie

  • Affiliations:
  • Department of Mathematics and Computer Science Université du Québec à Montréal P.O. Box 8888, St. A Montréal, Quebec H3C 3P8, Canada

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1993

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Abstract

The (Shannon) entropy of a random variable can be thought of as the maximum value of its conditional entropy given another random variable. Exploiting this idea provides possible composition laws for entropies defined on tree-like graphs. The same approach applies to quantum entropy. These elements could serve as a point of departure to analyze the complexity of computational systems.