The viewpoint of differential geometry on the notion of quantum controllability

Luogo:  Aula Seminari “-1” – Dipartimento di Matematica
Ore 15:00

• Relatore: Davide Pastorello (Università degli Studi di Trento)

Abstract: 
In this talk I propose a new geometric approach to quantum control of a n-level quantum system in terms of symplectic and Riemannian structures of projective Hilbert spaces, exploiting some tools of classical control theory. In particular the notion of accessibility algebra of classical non-linear systems in affine form can be adapted to study quantum controllability within geometric Hamiltonian formulation of quantum mechanics. Moreover the controllability of a quantum system will be completely characterized in terms of Killing vector fields on the complex projective space w.r.t. Fubini-Study metric.

Il seminario in oggetto si inserisce nel ciclo "Mathematical Aspects of Quantum and Classical Physical Theories" (webpage https://sites.google.com/a/unitn.it/mathphys/ )

Referente: Valter Moretti