Quantumness of States and Correlations TeX Export

@article{citeulike:4133813, abstract = {A quantum state is non-classical when its representation in phase space cannot be interpreted as a probability distribution. In this Letter, we present a map that can detect all non-classical states and translate it into its dual formalism, non-classicality witnesses. The map enables us to show that non-positive (i.e. non-physical) Hermitian operators may correspond to positive quasi-probability distributions in \emph{any} \$s\$-ordered representation except only the normally ordered one. This exploits the geometrical structure of positive operators over positive \$s\$-ordered quasi-probability distributions, based on which, for multi-mode states we geometrically identify the fraction of the non-classicality depth that corresponds to quantum correlations of states: the non-classicality depth of entanglement.}, archivePrefix = {arXiv}, author = {Kim, Kisik and Kim, Jaewan and Bae, Joonwoo}, citeulike-article-id = {4133813}, citeulike-linkout-0 = {http://arxiv.org/abs/0903.0713}, citeulike-linkout-1 = {http://arxiv.org/pdf/0903.0713}, day = {4}, eprint = {0903.0713}, keywords = {coherent\_states}, month = {Mar}, posted-at = {2009-03-05 20:33:58}, priority = {3}, title = {Quantumness of States and Correlations}, url = {http://arxiv.org/abs/0903.0713}, year = {2009} }

TY - JOUR ID - citeulike:4133813 L3 - citeulike-article-id:4133813 N2 - A quantum state is non-classical when its representation in phase space cannot be interpreted as a probability distribution. In this Letter, we present a map that can detect all non-classical states and translate it into its dual formalism, non-classicality witnesses. The map enables us to show that non-positive (i.e. non-physical) Hermitian operators may correspond to positive quasi-probability distributions in \emph{any} $s$-ordered representation except only the normally ordered one. This exploits the geometrical structure of positive operators over positive $s$-ordered quasi-probability distributions, based on which, for multi-mode states we geometrically identify the fraction of the non-classicality depth that corresponds to quantum correlations of states: the non-classicality depth of entanglement. TI - Quantumness of States and Correlations KW - coherent_states AU - Kim, Kisik AU - Kim, Jaewan AU - Bae, Joonwoo PY - 2009/Mar/04/ UR - http://arxiv.org/abs/0903.0713 ER -