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 JMP  Vol.5 No.14 , August 2014
What Does Monogamy in Higher Powers of a Correlation Measure Mean?
Pilukuli Janardhana Geetha,   Sudha*, Alevoor Raghavendra Usha Devi
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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.
Keywords: Mutual Information, Sharing of Classical and Quantum Correlations, Monogamy of Quantum Correlations
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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