Takuya Yamano

Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str.77, D-50937 Köln, Germany
and
Department of Applied Physics, Faculty of Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo,152-8551, Japan.
E-mail: [email protected]

Received: 7 August 2001/ Accepted: 31 October 2001/ Published: 21 November 2001

Abstract: As a possible generalization of Shannon's information theory, we review the formalism based on the non-logarithmic information content parametrized by a real number q, which exhibits nonadditivity of the associated uncertainty. Moreover it is shown that the establishment of the concept of the mutual information is of importance upon the generalization.

Keywords: information theory; Tsallis entropy; nonadditivity; source coding theorem; mutual information.