2019/04/24 by Domenico Felice, Stefano Mancini, Felice, Domenico +3
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Differential geometry #FOS: Mathematics #FOS: Physical sciences #Informatik #Mathematical Physics #Mathematics - Mathematical Physics #Quantum Mechanics and Applications #Quantum Physics #Quantum information #Riemannian geometries #Statistical Mechanics and Entropy
paper · doi:10.15480/882.3736
openalex publication_date 2019/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new canonical divergence is put forward for generalizing an information-geometric measure of complexity for both, classical and quantum systems. On the simplex of probability measures it is proved that the new divergence coincides with the Kullback-Leibler divergence, which is used to quantify how much a probability measure deviates from the non-interacting states that are modeled by exponential families of probabilities. On the space of positive density operators, we prove that the same divergence reduces to the quantum relative entropy, which quantifies many-party correlations of a quantum state from a Gibbs family.