Mathematical framework for detection and quantification of nonclassical correlation

Details Mathematical framework for detection and quantification of nonclassical correlation Mathematical framework for detection and quantification of nonclassical correlation

2008-02-15

arxiv.org/abs/0802.2263v10

Quantum Inf. Comput. 11, 0167-0180 (2011)

Physics

Quantum Physics

14 pages, no figure, v1-v2: 4 pages, v2: a proposition and a proof corrected, v3: 6 pages, more details of proofs written, an

Scientific paper

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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