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Annals of Physics

On the measurability of quantum correlation functions

Bertúlio de Lima Bernardo, Sérgio Azevedo, Alexandre Rosas

Published Mar 16, 2015• 5 citations
Publisher
DOI
10.1016/j.aop.2015.03.012

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It is found that the measurement disturbance relation (MDR) determines the strength of quantum correlation and hence is one of the essential facets of the nature of quantum nonlocality. In reverse, the exact form of MDR may be ascertained through measuring the correlation function. To this aim, an optical experimental scheme is proposed. Moreover, by virtue of the correlation function, we find that the quantum entanglement, the quantum nonlocality, and the uncertainty principle can be explicitly correlated.
How can we characterize different types of correlation between quantum systems? Since correlations cannot be generated locally, we take any real function of a multipartite state which cannot increase under local operations to measure a correlation. Correlation measures that can be expressed as an optimization of a linear combination of entropies are particularly useful, since they can often be interpreted operationally. We systematically study such optimized linear entropic functions, and by enforcing monotonicity under local processing we identify four cones of correlation measures for bipartite quantum states. This yields two new optimized measures of bipartite quantum correlation that are particularly simple, which have the additional property of being additive.
Quantum correlation in a pair{e,η}of quantum ensembles is studied and computed.In quantum information theory,aquantum state of a quantum system lies in some stateρiat a certain probability pithrough a quantum measurement.Thus,quantum statesρ1,ρ2,…,ρnand corresponding probabilities p1,p2,…,pnare obtained and so an ensemblee={pi,ρi}ni=1is presented.To do this,a 4-partite quantum stateρe,ηis constructed,and based on quantum relative entropy,a measure function is defined in order to reveal the quantum correlation of the pair.Some properties of the measure function are proved.