{"year":"2012","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1202.1598"}],"user_id":"71541","author":[{"full_name":"Gharibian, Sevag","last_name":"Gharibian","orcid":"0000-0002-9992-3379","id":"71541","first_name":"Sevag"}],"language":[{"iso":"eng"}],"_id":"8174","title":"Quantifying nonclassicality with local unitary operations","publisher":"American Physical Society","page":"042106","date_updated":"2023-02-28T11:03:38Z","extern":"1","volume":86,"type":"journal_article","doi":"10.1103/PhysRevA.86.042106","article_type":"original","external_id":{"arxiv":["1202.1598"]},"abstract":[{"lang":"eng","text":"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)."}],"status":"public","date_created":"2019-03-01T12:01:41Z","department":[{"_id":"623"},{"_id":"7"}],"publication_status":"published","publication":"Physical Review A","citation":{"bibtex":"@article{Gharibian_2012, title={Quantifying nonclassicality with local unitary operations}, volume={86}, DOI={<a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">10.1103/PhysRevA.86.042106</a>}, journal={Physical Review A}, publisher={American Physical Society}, author={Gharibian, Sevag}, year={2012}, pages={042106} }","mla":"Gharibian, Sevag. “Quantifying Nonclassicality with Local Unitary Operations.” <i>Physical Review A</i>, vol. 86, American Physical Society, 2012, p. 042106, doi:<a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">10.1103/PhysRevA.86.042106</a>.","short":"S. Gharibian, Physical Review A 86 (2012) 042106.","apa":"Gharibian, S. (2012). Quantifying nonclassicality with local unitary operations. <i>Physical Review A</i>, <i>86</i>, 042106. <a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">https://doi.org/10.1103/PhysRevA.86.042106</a>","chicago":"Gharibian, Sevag. “Quantifying Nonclassicality with Local Unitary Operations.” <i>Physical Review A</i> 86 (2012): 042106. <a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">https://doi.org/10.1103/PhysRevA.86.042106</a>.","ieee":"S. Gharibian, “Quantifying nonclassicality with local unitary operations,” <i>Physical Review A</i>, vol. 86, p. 042106, 2012, doi: <a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">10.1103/PhysRevA.86.042106</a>.","ama":"Gharibian S. Quantifying nonclassicality with local unitary operations. <i>Physical Review A</i>. 2012;86:042106. doi:<a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">10.1103/PhysRevA.86.042106</a>"},"oa":"1","intvolume":"        86"}