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Entanglement Theory Quantum Correlations

Correlation and Entanglement of Multipartite States

arXiv
Authors: Y. B. Band, I. Osherov

Year

2010

Paper ID

10724

Status

Preprint

Abstract Read

~2 min

Abstract Words

119

Citations

N/A

Abstract

We derive a classification and a measure of classical- and quantum-correlation of multipartite qubit, qutrit, and in general, n-level systems, in terms of SU(n) representations of density matrices. We compare the measure for the case of bipartite correlation with concurrence and the entropy of entanglement. The characterization of correlation is in terms of the number of nonzero singular values of the correlation matrix, but that of mixed state entanglement requires additional invariant parameters in the density matrix. For the bipartite qubit case, the condition for mixed state entanglement is written explicitly in terms of the invariant paramters in the density matrix. For identical particle systems we analyze the effects of exchange symmetry on classical and quantum correlation.

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  • We derive a classification and a measure of classical- and quantum-correlation of multipartite qubit, qutrit, and in general, n-level systems, in terms of SU(n) representations...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.4935 [2] arXiv https://arxiv.org/abs/1010.4935 [3] Publisher https://arxiv.org/abs/1010.4935

Local Citation Graph (Related-Paper Links)

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