Geometric quantum discord through the Schatten 1-norm
By F. M. Paula, T. R. Oliveira, Marcelo S. Sarandy. 2013
227 citations recorded by the source corpus.
It has recently been pointed out that the geometric quantum discord, as defined by the Hilbert-Schmidt norm (2-norm), is not a good measure of quantum correlations, since it may increase under local reversible operations on the unmeasured subsystem. Here, we revisit the geometric discord by considering general Schatten $p$-norms, explicitly showing that the 1-norm is the only $p$-norm able to define a consistent quantum correlation measure. In addition, by restricting the optimization to the tetrahedron of two-qubit Bell-diagonal states, we provide an analytical expression for the 1-norm geometric discord, which turns out to be equivalent to the negativity of quantumness. We illustrate the measure by analysing its monotonicity properties and by considering the ground state of quantum spin chains.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/bd492bf2ef875d50769abeb12d51feed9de6a6b7
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Quantum coherence and geometric quantum discord (2017, methodology): “In addition, sudden transition in the behavior of GQD and MIN depends on the mean photon number of the local environment.”