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Conditions for the local manipulation of tripartite Gaussian states

2003; American Physical Society; Volume: 67; Issue: 6 Linguagem: Inglês

10.1103/physreva.67.062317

1538-4446

Liang Wang, Shu‐Shen Li, Houzhi Zheng,

Quantum Mechanics and Applications

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.