caa a22 4500 445886587 CHVBK 20180317145601.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s11128-010-0208-8 doi (NATIONALLICENCE)springer-10.1007/s11128-010-0208-8 Tractable measure of nonclassical correlation using density matrix truncations [Elektronische Daten] [Akira SaiToh, Robabeh Rahimi, Mikio Nakahara] In the context of the Oppenheim-Horodecki paradigm of nonclassical correlation, a bipartite quantum state is (properly) classically correlated if and only if it is represented by a density matrix having a product eigenbasis. On the basis of this paradigm, we propose a measure of nonclassical correlation by using truncations of a density matrix down to individual eigenspaces. It is computable within polynomial time in the dimension of the Hilbert space albeit imperfect in the detection range. This is in contrast to the measures conventionally used for the paradigm. The computational complexity and mathematical properties of the proposed measure are investigated in detail and the physical picture of its definition is discussed. Springer Science+Business Media, LLC, 2010 Nonclassical correlation nationallicence Quantumness nationallicence Computational tractability nationallicence Informational entropy nationallicence Matrix truncation nationallicence SaiToh Akira Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, Kinki University, 3-4-1 Kowakae, Higashi-Osaka, 577-8502, Osaka, Japan aut Rahimi Robabeh Departments of Chemistry and Materials Science, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, 558-8585, Osaka, Japan aut Nakahara Mikio Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, Kinki University, 3-4-1 Kowakae, Higashi-Osaka, 577-8502, Osaka, Japan aut Quantum Information Processing Springer US; http://www.springer-ny.com 10/4(2011-08-01), 431-447 1570-0755 10:4<431 2011 10 11128 https://doi.org/10.1007/s11128-010-0208-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11128-010-0208-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- SaiToh Akira Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, Kinki University, 3-4-1 Kowakae, Higashi-Osaka, 577-8502, Osaka, Japan aut NATIONALLICENCE 700 1- Rahimi Robabeh Departments of Chemistry and Materials Science, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, 558-8585, Osaka, Japan aut NATIONALLICENCE 700 1- Nakahara Mikio Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, Kinki University, 3-4-1 Kowakae, Higashi-Osaka, 577-8502, Osaka, Japan aut NATIONALLICENCE 773 0- Quantum Information Processing Springer US; http://www.springer-ny.com 10/4(2011-08-01), 431-447 1570-0755 10:4<431 2011 10 11128 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer