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Open AccessArticle

Correlations in Two-Qubit Systems under Non-Dissipative Decoherence

by Diego G. Bussandri 1,2,†, Tristán M. Osán 1,3,†, Pedro W. Lamberti 1,2,† and Ana P. Majtey 1,3,*,†
1
Universidad Nacional de Córdoba, Facultad de Matemática, Astronoma, Fsica y Computación, Av. Medina Allende s/n, Ciudad Universitaria, Córdoba X5000HUA, Argentina
2
Consejo Nacional de Investigaciones Científicas y Técnicas de la República Argentina, Av. Rivadavia 1917, C1033AAJ, CABA, Argentina
3
Instituto de Fí­sica Enrique Gaviola (IFEG), Consejo Nacional de Investigaciones Científicas y Técnicas de la República Argentina (CONICET), Medina Allende s/n, X5016LAE, Córdoba, Argentina
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Axioms 2020, 9(1), 20; https://doi.org/10.3390/axioms9010020
Received: 1 January 1970 / Revised: 17 January 2020 / Accepted: 9 February 2020 / Published: 12 February 2020
(This article belongs to the Special Issue Foundations of Quantum Computing)
We built a new set of suitable measures of correlations for bipartite quantum states based upon a recently introduced theoretical framework [Bussandri et al. in Quantum Inf. Proc. 18:57, 2019]. We applied these measures to examine the behavior of correlations in two-qubit states with maximally mixed marginals independently interacting with non-dissipative decohering environments in different dynamical scenarios of physical relevance. In order to get further insight about the physical meaning of the behavior of these correlation measures we compared our results with those obtained by means of well-known correlation measures such as quantum mutual information and quantum discord. On one hand, we found that the behaviors of total and classical correlations, as assessed by means of the measures introduced in this work, are qualitatively in agreement with the behavior displayed by quantum mutual information and the measure of classical correlations typically used to calculate quantum discord. We also found that the optimization of all the measures of classical correlations depends upon a single parameter and the optimal value of this parameter turns out to be the same in all cases. On the other hand, regarding the measures of quantum correlations used in our studies, we found that in general their behavior does not follow the standard quantum discord D . As the quantification by means of standard quantum discord and the measures of quantum correlations introduced in this work depends upon the assumption that total correlations are additive, our results indicate that this property needs a deeper and systematic study in order to gain a further understanding regarding the possibility to obtain reliable quantifiers of quantum correlations within this additive scheme.
Keywords: quantum discord; quantum correlations; non-dissipative decoherence quantum discord; quantum correlations; non-dissipative decoherence
MDPI and ACS Style

Bussandri, D.G.; Osán, T.M.; Lamberti, P.W.; Majtey, A.P. Correlations in Two-Qubit Systems under Non-Dissipative Decoherence. Axioms 2020, 9, 20.

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