Average entropy of a subsystem from its average Tsallis entropy

2002/01/15 by L. C. Malacarne, R. S. Mendes, E. K. Lenzi
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Statistical Mechanics and Entropy #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.65.046131

published as Phys. Rev. E 65, 046131 (2002) · Revtex, 6 pages, 2 figures. To appear in Phys. Rev. E

arxiv created 2002/01/15 · openalex publication_date 2002/04/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Separability Criterion for Density Matrices
• The role of relative entropy in quantum information theory
• Average Entropy of a Subsystem