Extending Hudson's theorem to mixed quantum states

Details Extending Hudson's theorem to mixed quantum states Extending Hudson's theorem to mixed quantum states

2008-08-18

arxiv.org/abs/0808.2501v2

Phys. Rev. A 79, 062302 (2009)

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

According to Hudson's theorem, any pure quantum state with a positive Wigner function is necessarily a Gaussian state. Here, we make a step towards 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 functions. The bounds are expressed in the form of parametric functions relating the degree of non-Gaussianity of a state, its purity, and the purity of the Gaussian state characterized by the same covariance matrix. Although our bounds are not tight, they permit us to visualize the set of states with positive Wigner functions.

Affiliated with

Also associated with

No associations

Rating

Extending Hudson's theorem to mixed quantum states does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extending Hudson's theorem to mixed quantum states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extending Hudson's theorem to mixed quantum states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-131688