Extending Hudson's theorem to mixed quantum states

According to Hudson’s theorem, any pure quantum state with a positive Wigner function is necessarily a Gaussian state. Here, we make a step toward the extension of this theorem to mixed quantum states by finding upper and lower bounds on the degree of non-Gaussianity of states with positive Wigner f...

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Bibliographic Details
Main Authors: Mandilara, Aikaterini, Karpov, Evgueni, Cerf, Nicolas J.
Other Authors: Massachusetts Institute of Technology. Research Laboratory of Electronics
Format: Article
Language:en_US
Published: American Physical Society 2011
Online Access:http://hdl.handle.net/1721.1/64931