Problem with geometric discord
By Marco Piani. 2012
238 citations recorded by the source corpus.
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.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/b1f670f3e3a950c79a559139490d07931825fa34
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Macroscopic quantum states: Measures, fragility, and implementations (2017, background): “…operations because of a problematic connection to 29 Fröwis and Dür (2012b); Lee and Jeong (2011); Park et al. (2016); Shimizu and Miyadera (2002) the Hilbert-Schmidt norm, which is known to be not contractive under trace-preserving operations (Ozawa, 2000; Piani, 2012; Yadin and Vedral, 2016).”
- Quantum coherence and geometric quantum discord (2017, background): “This property averts the fault encountered when measuring GQD via the HS norm (Piani, 2012).”