Conditions for the local manipulation of tripartite Gaussian states

Liang Wang, Shu‐Shen Li, Houzhi Zheng · Physical Review A · 2003

We present the normal form of the covariance matrix for three-mode tripartite Gaussian states. By means of this result, the general form of a necessary and sufficient criterion for the possibility of a state transformation from one tripartite entangled Gaussian state to another with three modes is found. Moreover, we show that the conditions presented include not only inequalities but equalities as well.

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