On the elementary information content of thermodynamic ensembles.

Extending the definition of phase-space (Wigner) quantum projectors to thermodynamic ensembles usually results into an efficient platform for quantifying their elementary information content. Given the spectral decomposition profile of a thermalized quantum system, general expressions for the quantum purity quantifier, P (β) , and for phase-space projectors related to the quantum fidelity, F (β) , are explicitly derived in terms of an explicit correspondence with the related partition function, Z (β). Besides quantifying the storage of information capacity of thermodynamical ensembles, the tools here introduced extend the role of the partition function in expressing the quantum behavior of thermodynamic ensembles. • The Weyl–Wigner formalism provides elementary information contents of TD ensembles. • Analytical tools for quantifying the storage of information of TD ensembles are presented. • Expressions for quantum fidelity and purity are explicitly given in terms of the partition function. [ABSTRACT FROM AUTHOR]