Fourth moments reveal the negativity of the Wigner function

Details Fourth moments reveal the negativity of the Wigner function Fourth moments reveal the negativity of the Wigner function

2011-03-07

arxiv.org/abs/1103.1245v3

Phys. Rev. A 83, 052113 (2011)

Physics

Quantum Physics

5 pages, published version

Scientific paper

10.1103/PhysRevA.83.052113

The presence of unique quantum correlations is the core of quantum information processing and general quantum theory. We address the fundamental question of how quantum correlations of a generic quantum system can be probed using correlation functions defined for quasiprobability distributions. In particular we discuss the possibility of probing the negativity of a quasiprobability by comparing moments of the Wigner function. We show that one must take at least the fourth moments to find the negativity in general and the eighth moments for states with a rotationally invariant Wigner function.

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