TL;DR
This paper critiques the geometric discord measure for quantum correlations, showing it can increase under local operations, and emphasizes the robustness of the standard discord based on mutual information.
Contribution
It demonstrates the limitations of geometric discord as a measure of quantum correlations and provides a simplified proof of the reliability of standard discord.
Findings
Geometric discord can increase under local reversible operations.
Standard mutual-information-based discord remains unaffected by such operations.
The paper clarifies the reliability of different quantum correlation measures.
Abstract
We argue that the geometric discord introduced in [B. Dakic, V. Vedral, and C. Brukner, Phys. Rev. Lett. 105, 190502 (2010)] is not a good measure for the quantumness of correlations, as it can increase even under trivial local reversible operations of the party whose classicality/non-classicality is not tested. On the other hand it is known that the standard, mutual-information based discord does not suffer this problem; a simplified proof of such a fact is given.
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