Quantifying nonclassicality with local unitary operations

S. Gharibian, Physical Review A 86 (2012) 042106.

Journal Article | Published | English
Abstract
We propose a measure of non-classical correlations in bipartite quantum states based on local unitary operations. We prove the measure is non-zero if and only if the quantum discord is non-zero; this is achieved via a new characterization of zero discord states in terms of the state's correlation matrix. Moreover, our scheme can be extended to ensure the same relationship holds even with a generalized version of quantum discord in which higher-rank projective measurements are allowed. We next derive a closed form expression for our scheme in the cases of Werner states and (2 x N)-dimensional systems. The latter reveals that for (2 x N)-dimensional states, our measure reduces to the geometric discord [Dakic et al., PRL 105, 2010]. A connection to the CHSH inequality is shown. We close with a characterization of all maximally non-classical, yet separable, (2 x N)-dimensional states of rank at most two (with respect to our measure).
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Journal Title
Physical Review A
Volume
86
Page
042106
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Gharibian S. Quantifying nonclassicality with local unitary operations. Physical Review A. 2012;86:042106. doi:10.1103/PhysRevA.86.042106
Gharibian, S. (2012). Quantifying nonclassicality with local unitary operations. Physical Review A, 86, 042106. https://doi.org/10.1103/PhysRevA.86.042106
@article{Gharibian_2012, title={Quantifying nonclassicality with local unitary operations}, volume={86}, DOI={10.1103/PhysRevA.86.042106}, journal={Physical Review A}, publisher={American Physical Society}, author={Gharibian, Sevag}, year={2012}, pages={042106} }
Gharibian, Sevag. “Quantifying Nonclassicality with Local Unitary Operations.” Physical Review A 86 (2012): 042106. https://doi.org/10.1103/PhysRevA.86.042106.
S. Gharibian, “Quantifying nonclassicality with local unitary operations,” Physical Review A, vol. 86, p. 042106, 2012, doi: 10.1103/PhysRevA.86.042106.
Gharibian, Sevag. “Quantifying Nonclassicality with Local Unitary Operations.” Physical Review A, vol. 86, American Physical Society, 2012, p. 042106, doi:10.1103/PhysRevA.86.042106.
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