Mathematical framework for detection and quantification of nonclassical correlation

  • Authors:

  • Akira Saitoh;Robabeh Rahimi;Mikio Nakahara

  • Affiliations:

  • Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, Kinki University, Higashi-Osaka, Osaka, Japan;Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, Kinki University, Higashi-Osaka, Osaka and Department of Chemistry and Materials Science, Gradu ...;Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, Kinki University, Higashi-Osaka, Osaka and Department of Physics, Kinki University, Higashi-Osa ...

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2011

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Abstract

Existing measures of bipartite nonclassical correlation that is typically characterized bynonvanishing nonlocalizable information under the zero-way CLOCC protocol are expensivein computational cost. We define and evaluate economical measures on the basisof a new class of maps, eigenvalue-preserving-but-not-completely-eigenvalue-preserving(EnCE) maps. The class is in analogy to the class of positive-but-not-completely-positive(PnCP) maps that have been commonly used in the entanglement theories. Linear andnonlinear EnCE maps are investigated. We also prove subadditivity of the measures ina form of logarithmic fidelity.