43 citations · 171 across the 46 of their papers we have counts for
50 papers
Toeplitz Density Operators and their Separability Properties
Maurice de Gosson
Toeplitz operators (also called localization operators) are a generalization of the well-known anti-Wick pseudodifferential operators studied by Berezin and Shubin. When a Toeplitz…
Entanglement of Bipartite Gaussian States: a Simple Criterion and its Geometric Interpretation
Maurice de Gosson
Werner and Wolf have proven in Phys. Rev. Lett. 86(16) (2001) a very elegant necessary and sufficient condition for a bosonic continuous variable bipartite Gaussian mixed quantum s…
A Few Almost Trivial Notes on the Symplectic Radon Transform and the Tomographic Picture of Quantum Mechanics
Maurice de Gosson
We emphasize in these pedagogical notes the that the theory of the Radon transform and its applications is best understood using the theory of the metaplectic group and the quadrat…
Polar Duality Between Pairs of Transverse Lagrangian Planes. Applications to Uncertainty Principles
Maurice de Gosson
We extend the notion of polar duality to pairs of transverse Lagrangian planes in the standard symplectic space. This allows us to show that polar duality has a natural interpretat…
Quantum Polar Duality and the Symplectic Camel: a Geometric Approach to Quantization
Maurice de Gosson
We define and study the notion of quantum polarity, which is a kind of geometric Fourier transform between sets of positions and sets of momenta. Extending previous work of ours, w…
A Note on the Disentanglement of Gaussian Quantum States by Symplectic Rotations
Maurice A. de Gosson
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…