Authors: M. Karthick Selvan
We derive a class of inequality relations for detecting the three-mode entanglement of non-Gaussian states of electromagnetic field, using a set of operators satisfying the Lie algebra of Pauli matrices. These operators are quadratic in mode creation and annihilation operators. The obtained inseparability condition is shown to be a necessary condition for W type entangled states and it is used to derive the general form for a family of such inseparability conditions. An experimental scheme is proposed to test the violation of separability condition. The results derived for three-mode systems are generalized to multimode systems.
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