A Note on the Disentanglement of Gaussian Quantum States by Symplectic Rotations
Quantum Physics
2020-05-07 v3 Mathematical Physics
math.MP
Operator Algebras
Symplectic Geometry
Abstract
We show that every Gaussian mixed quantum state can be disentangled by conjugation with a metaplectic operator associated with a symplectic rotation. The main tools we use are the Werner-Wolf condition on covariance matrices and the symplectic covariance of Weyl quantization.
Keywords
Cite
@article{arxiv.2003.11049,
title = {A Note on the Disentanglement of Gaussian Quantum States by Symplectic Rotations},
author = {Maurice A. de Gosson},
journal= {arXiv preprint arXiv:2003.11049},
year = {2020}
}
Comments
To appear in CR. Acad. Sci. Paris (in print)