Axiomatic Approach to Measures of Total Correlations
2024
Axiomatic Approach to Measures of Total Correlations
publication
Evidence: moderate
Author Information
Author(s): Moraes Gabriel L., Angelo Renato M., Costa Ana C. S.
Primary Institution: Federal University of Paraná
Hypothesis
How do we define a bona fide measure of total correlations?
Conclusion
The study argues that quantum mutual information remains a valid measure of total correlations despite criticisms regarding its reliability.
Supporting Evidence
- The study outlines essential properties for effective correlation measures.
- It reviews existing measures and introduces new ones based on Rényi and Tsallis relative entropies.
- The analysis shows that quantum mutual information is equivalent to other measures for two-qubit systems.
Takeaway
This study looks at how to measure correlations in quantum systems and suggests that one method, called quantum mutual information, is still a good way to do it.
Methodology
The authors reviewed existing measures of total correlations and introduced new measures based on various entropies.
Limitations
The study does not exhaust all reasonable conditions for a measure of total correlations.
Digital Object Identifier (DOI)
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