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Entanglement Theory Quantum Correlations

What does monogamy in higher powers of a correlation measure mean?

arXiv
Authors: P. J. Geetha, Sudha, A. R. Usha Devi

Year

2014

Paper ID

47711

Status

Preprint

Abstract Read

~2 min

Abstract Words

115

Citations

N/A

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 need 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.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • We examine here the proposition that all multiparty quantum states can be made monogamous by considering positive integral powers of any quantum correlation measure.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1409.1521 [2] arXiv https://arxiv.org/abs/1409.1521 [3] Publisher https://arxiv.org/abs/1409.1521

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