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arXiv · 0802.2263

Mathematical framework for detection and quantification of nonclassical correlation

Akira SaiToh·Robabeh Rahimi·Mikio Nakahara
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Abstract

Existing measures of bipartite nonclassical correlation that is typically characterized by nonvanishing nonlocalizable information under the zero-way CLOCC protocol are expensive in computational cost. We define and evaluate economical measures on the basis of 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 and nonlinear EnCE maps are investigated. We also prove subadditivity of the measures in a form of logarithmic fidelity.

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Akira SaiToh, Robabeh Rahimi, Mikio Nakahara. 2010-11-09. Mathematical framework for detection and quantification of nonclassical correlation. https://arxiv.org/abs/0802.2263

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