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What Does Monogamy in Higher Powers of a Correlation Measure Mean?

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DOI: 10.4236/jmp.2014.514130    3,374 Downloads   3,782 Views   Citations

ABSTRACT

We examine here the proposition that all multiparty quantum states can be made monogamous by considering positive integral powers of any quantum correlation measure. With Rajagopal-Rendell quantum deficit as the measure of quantum correlations for symmetric 3-qubit pure states, we illustrate that monogamy inequality is satisfied for higher powers of quantum deficit. We discuss the drawbacks of this inequality in quantification of correlations in the state. We also prove a monogamy inequality in higher powers of classical mutual information and bring out the fact that such inequality needs not necessarily imply restricted shareability of correlations. We thus disprove the utility of higher powers of any correlation measure in establishing monogamous nature in multiparty quantum states.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Geetha, P. , Sudha,  . and Devi, A. (2014) What Does Monogamy in Higher Powers of a Correlation Measure Mean?. Journal of Modern Physics, 5, 1294-1301. doi: 10.4236/jmp.2014.514130.

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