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Abstract: Gaussian bipartite states are basic tools for the realization of quantuminformation protocols with continuous variables. Their completecharacterization is obtained by the reconstruction of the correspondingcovariance matrix. Here we describe in details and experimentally demonstrate arobust and reliable method to fully characterize bipartite optical Gaussianstates by means of a single homodyne detector. We have successfully applied ourmethod to the bipartite states generated by a sub-threshold type-II opticalparametric oscillator which produces a pair of thermal cross-polarizedentangled CW frequency degenerate beams. The method provide a reliablereconstruction of the covariance matrix and allows to retrieve all the physicalinformation about the state under investigation. These includes observablequantities, as energy and squeezing, as well as non observable ones as purity,entropy and entanglement. Our procedure also includes advanced tests forGaussianity of the state and, overall, represents a powerful tool to studybipartite Gaussian state from the generation stage to the detection one.

Author: D. Buono, G. Nocerino, V. D'Auria, A. Porzio, S. Olivares, M. G. A. Paris

Source: https://arxiv.org/

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