Related Experiment Video
Updated: Feb 20, 2026

Cross-Modal Multivariate Pattern Analysis
Published on: November 9, 2011
Quantifying Genuine Multipartite Correlations and their Pattern Complexity
Davide Girolami1, Tommaso Tufarelli2, Cristian E Susa3
1Department of Atomic and Laser Physics, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom.
Abstract:
We propose an information-theoretic framework to quantify multipartite correlations in classical and quantum systems, answering questions such as what is the amount of seven-partite correlations in a given state of ten particles? We identify measures of genuine multipartite correlations, i.e., statistical dependencies that cannot be ascribed to bipartite correlations, satisfying a set of desirable properties. Inspired by ideas developed in complexity science, we then introduce the concept of weaving to classify states that display different correlation patterns, but cannot be distinguished by correlation measures. The weaving of a state is defined as the weighted sum of correlations of every order. Weaving measures are good descriptors of the complexity of correlation structures in multipartite systems.
Related Concept Videos
Extraction: Partition and Distribution Coefficients
For extracting a solute from an aqueous phase into an...
¹H NMR Signal Multiplicity: Splitting Patterns
Correlations
Coefficient of Correlation
If you suspect a linear relationship between x and y, then r can measure how strong the linear relationship is.
What the VALUE of r tells us:
The value of r is always between –1 and +1: –1 ≤ r ≤ 1.
The size of the correlation r indicates the...
Noncompartmental Analysis: Statistical Moment Theory
Kendall's Coefficient of Concordance

