Witnessed entanglement and the geometric measure of quantum discord
arXiv:1207.1298 · doi:10.1103/PhysRevA.86.024302
Abstract
We establish relations between geometric quantum discord and entanglement quantifiers obtained by means of optimal witness operators. In particular, we prove a relation between negativity and geometric discord in the Hilbert-Schmidt norm, which is slightly different from a previous conjectured one [Phys. Rev. A 84, 052110 (2011)].We also show that, redefining the geometric discord with the trace norm, better bounds can be obtained. We illustrate our results numerically.
arXiv comment8 pages + 3 figures. Revised version with erratum for PRA 86, 024302 (2012). Simplified proof that discord is bounded by entanglement in any norm
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- The geometric approach to quantum correlations: Computability versus reliability
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