Publications (9)
IFFT-Equivariant Quantizations
F. Boniver, P. Mathonet
The existence and uniqueness of quantizations that are equivariant with respect to conformal and projective Lie algebras of vector fields were recently obtained by Duval, Lecomte a…
On natural and conformally equivariant quantizations
P. Mathonet, F. Radoux
The concept of conformally equivariant quantizations was introduced by Duval, Lecomte and Ovsienko in \cite{DLO} for manifolds endowed with flat conformal structures. They obtained…
Equivariant symbol calculus for differential operators acting on forms
F. Boniver, S. Hansoul, P. Mathonet +1
We prove the existence and uniqueness of a projectively equivariant symbol map (in the sense of Lecomte and Ovsienko) for the spaces of differential operators transforming p-…
Cartan connections and natural and projectively equivariant quantizations
P. Mathonet, F. Radoux
In this paper, we analyse the question of existence of a natural and projectively equivariant symbol calculus, using the theory of projective Cartan connections. We establish a clo…
Natural and projectively equivariant quantizations by means of Cartan Connections
P. Mathonet, F. Radoux
The existence of a natural and projectively equivariant quantization in the sense of Lecomte [20] was proved recently by M. Bordemann [4], using the framework of Thomas-Whitehead c…
Operational Entanglement Families of Symmetric Mixed N-Qubit States
T. Bastin, P. Mathonet, E. Solano
We introduce an operational entanglement classification of symmetric mixed states for an arbitrary number of qubits based on stochastic local operations assisted with classical com…