Journal
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION
Volume 9, Issue 7-8, Pages 1773-1786Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219749911008192
Keywords
Geometric quantum discord; non-classical correlations; Gaussian states
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Funding
- University of Nottingham
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We extend the geometric measure of quantum discord, introduced and computed for two-qubit states, to quantify non-classical correlations in composite Gaussian states of continuous variable systems. We lay the formalism for the evaluation of a Gaussian geometric discord in two-mode Gaussian states, and present explicit formulas for the class of two-mode squeezed thermal states. In such a case, under physical constraints of bounded mean energy, geometric discord is shown to admit upper and lower bounds for a fixed value of the conventional (entropic) quantum discord. We finally discuss alternative geometric approaches to quantify Gaussian quadrature correlations.
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