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International Journal of Theoretical Physics

Measurement of Quantum Correlation on Two-Mode Continuous State

Zhen Yang, Chong Li, Ying Shi, Xin Yu Chen

Published Jul 21, 2015• 5 citations
Publisher
DOI
10.1007/s10773-015-2746-4

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Quantum correlation provides a promising measure beyond entanglement. Here, we propose a necessary and sufficient condition for nonzero quantum correlation in continuous variable systems, which is simple and easy to perform in terms of a marker Q r . In order to get this condition, we introduce continuous-variable local orthogonal bases of the operator space, which are generalized from the orthogonal basis sets in local operator space for discrete variables. Based on this, we obtain the marker Q r for all bipartite continuous variable states, and provide several examples including two-mode Gaussian and non-Gaussian states. Our result may provide a candidate for quantum correlation measures, and can be measured by designed quantum circuits.