Related Experiment Video
Updated: Nov 27, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
Published on: September 8, 2023
Canonical Divergence for Measuring Classical and Quantum Complexity
Domenico Felice1, Stefano Mancini2,3, Nihat Ay1,4,5
1Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany.
Abstract:
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.
More Related Videos
Related Concept Videos
Divergence and Curl of Magnetic Field
Divergence and Stokes' Theorems
Divergence and Curl
Entropy Change in Reversible Processes
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
Divergence and Curl of Electric Field
The Uncertainty Principle

