Physics – Quantum Physics
Scientific paper
2005-07-15
New Journal of Physics 7, 211 (2005)
Physics
Quantum Physics
7 pages, Submitted
Scientific paper
10.1088/1367-2630/7/1/211
There are several examples of bipartite entangled states of continuous variables for which the existing criteria for entanglement using the inequalities involving the second order moments are insufficient. We derive new inequalities involving higher order correlation, for testing entanglement in non-Gaussian states. In this context we study an example of a non-Gaussian state, which is a bipartite entangled state of the form $\psi(x_{\rm a},x_{\rm b})\propto (\alpha x_{\rm a}+\beta x_{\rm b})e^{-(x_{\rm a}^2+x_{\rm b}^2)/2}$. Our results open up an avenue to search for new inequalities to test entanglement in non-Gaussian states.
Agarwal Girish S.
Biswas Asoka
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