TITLE:
What Does Monogamy in Higher Powers of a Correlation Measure Mean?
AUTHORS:
Pilukuli Janardhana Geetha, Sudha, Alevoor Raghavendra Usha Devi
KEYWORDS:
Mutual Information, Sharing of Classical and Quantum Correlations, Monogamy of Quantum Correlations
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.14,
August
22,
2014
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.