Physics – Quantum Physics
Scientific paper
2008-04-30
Phys. Rev. A 78, 012103 (2008)
Physics
Quantum Physics
6 pages, published version with improved presentation
Scientific paper
10.1103/PhysRevA.78.012103
Given a real-valued phase-space function, it is a nontrivial task to determine whether it corresponds to a Wigner distribution for a physically acceptable quantum state. This topic has been of fundamental interest for long, and in a modern application, it can be related to the problem of entanglement detection for multi-mode cases. In this paper, we present a hierarchy of complete conditions for a physically realizable Wigner distribution. Our derivation is based on the normally-ordered expansion, in terms of annihilation andcreation operators, of the quasi-density operator corresponding to the phase-space function in question. As a by-product, it is shown that the phase-space distributions with elliptical symmetry can be readily diagonalized in our representation, facilitating the test of physical realizability. We also illustrate how the current formulation can be connected to the detection of bipartite entanglement for continuous variables.
No associations
LandOfFree
Complete conditions for legitimate Wigner distributions 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 Complete conditions for legitimate Wigner distributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complete conditions for legitimate Wigner distributions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-576604