Correlation function and mutual information

Abstract

Correlation function and mutual information are two powerful tools to characterize the correlations in a quantum state of a composite system, widely used in many-body physics and in quantum information science, respectively. We find that these two tools may give different conclusions about the order of the degrees of correlation in two specific two-qubit states. This result implies that the orderings of bipartite quantum states according to the degrees of correlation depend on which correlation measure we adopt.

4.2 pages, 4 figures

References in corpus (4)

• Unified View of Quantum and Classical Correlations
• Area laws in quantum systems: mutual information and correlations
• On the quantum, classical and total amount of correlations in a quantum state
• Geometric phase of an atom in a magnetic storage ring

Cited by in corpus (4)

• Identifying Correlation Clusters in Many-Body Localized Systems
• Mutual Information is not a Reliable Measure for Variations in Total Correlations
• Sudden switch of generalized Lieb-Robinson velocity in a transverse field Ising spin chain
• Behavior of quantum correlations under nondissipative decoherence by means of the correlation matrix