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Yazhen Wang (2012)
Quantum Computation and Quantum InformationStatistical Science, 27
(2010)
Quantum Inform
(2011)
Confluentes Math
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 analyzing its monotonicity properties.
Physical Review A – American Physical Society (APS)
Published: Jun 7, 2013
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