Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantifying non-classicality with local unitary operations   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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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs