1999/10/31 by Paul B. Slater
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Statistical Mechanics and Entropy #quant-ph
paper · pdf · doi:10.1103/physreve.61.6087
published as Phys. Rev. E, 61 (2000) 6087 · Six pages, LaTeX. The title has been shortened (and then further modified), at the suggestion of a colleague. Other minor changes
arxiv created 1999/11/01 · openalex publication_date 2000/06/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
For certain infinite and finite-dimensional thermal systems, we obtain-incorporating quantum-theoretic considerations into Bayesian thermostatistical investigations of Lavenda-high-temperature expansions over inverse temperature beta induced by volume elements (quantum Jeffreys' priors) of Bures metrics. Similarly to Lavenda's results based on volume elements (Jeffreys' priors) of (classical) Fisher information metrics, we find that in the limit beta-->0 the quantum-theoretic priors either conform to Jeffreys' rule for variables over [0,infinity], by being proportional to 1/beta, or to the Bayes-Laplace principle of insufficient reason, by being constant. Whether a system adheres to one rule or to the other appears to depend upon its number of degrees of freedom.