Axiomatic Approach to Measures of Total Correlations
Gabriel L. Moraes, Renato M. Angelo, Ana C. S. Costa · 2024
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Description
Gabriel Moraes, Renato Angelo, and Ana Costa take an axiomatic look at measures of correlation in a 2024 paper. Correlations are central to science and to quantum mechanics, but how to measure their total strength is still debated. The authors set out the properties a good measure should have and then test existing measures against them.
They review quantum mutual information, a matrix norm measure, and a quantum form of the Pearson coefficient. They also introduce new measures built from relative entropies and a classic divergence. For two qubit systems, the three older measures turn out to agree. Even so, all of them suffer an ordering problem when ranking states. The authors still defend quantum mutual information as a valid measure.
Catalog record
| CREATOR | Gabriel L. Moraes, Renato M. Angelo, Ana C. S. Costa |
|---|---|
| YEAR | 2024 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 22 KB |
| VERSION | 1.0 |
| LICENSE | CC BY 4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |