English

Average Entropy of a Subsystem from its Average Tsallis Entropy

Statistical Mechanics 2009-11-07 v1

Abstract

In the nonextensive Tsallis scenario, Page's conjecture for the average entropy of a subsystem[Phys. Rev. Lett. {\bf 71}, 1291(1993)] as well as its demonstration are generalized, i.e., when a pure quantum system, whose Hilbert space dimension is mnmn, is considered, the average Tsallis entropy of an mm-dimensional subsystem is obtained. This demonstration is expected to be useful to study systems where the usual entropy does not give satisfactory results.

Keywords

Cite

@article{arxiv.cond-mat/0201237,
  title  = {Average Entropy of a Subsystem from its Average Tsallis Entropy},
  author = {L. C. Malacarne and R. S. Mendes and E. K. Lenzi},
  journal= {arXiv preprint arXiv:cond-mat/0201237},
  year   = {2009}
}

Comments

Revtex, 6 pages, 2 figures. To appear in Phys. Rev. E

R2 v1 2026-07-22T10:33:14.159Z