Gaussian geometric discord

Details Gaussian geometric discord Gaussian geometric discord

2011-10-11

arxiv.org/abs/1110.2532v1

Int. J. Quant. Inf. 9, 1773 (2011)

Physics

Quantum Physics

13 pages, 2 figures. To appear in IJQI Special Issue on Quantum Correlations: Entanglement and beyond

Scientific paper

10.1142/S0219749911008192

We extend the geometric measure of quantum discord, introduced and computed for two-qubit states in [B. Dakic, C. Brukner, and V. Vedral, Phys. Rev. Lett. 105, 190502 (2010)], 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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