5 citations · 5 across the 4 of their papers we have counts for
5 papers · 2 filters
Uniform Finite Generation of Compact Lie Groups and universal quantum gates
D. D'Alessandro
Consider a compact connected Lie group and the corresponding Lie algebra . Let be a set of generators for the Lie algebra . We prove that …
Optimal Evaluation of Generalized Euler Angles with Applications to Classical and Quantum Control
Domenico D'Alessandro
Given two linearly independent matrices in , and , every rotation matrix can be written as the product of alternate elements from the one dimensio…
Control of one and two homonuclear spins
D. D'Alessandro
We consider the problem of steering control for the systems of one spin 1/2 particle and two interacting homonuclear spin 1/2 particles in an electro-magnetic field. The describing…
Notions of controllability for quantum mechanical systems
F. Albertini, D. D'Alessandro
In this paper, we define four different notions of controllability of physical interest for multilevel quantum mechanical systems. These notions involve the possibility of driving…
The Lie algebra Structure and Nonlinear Controllability of Spin Systems
F. Albertini, D. D'Alessandro
In this paper, we study the controllability properties and the Lie algebra structure of networks of particles with spin immersed in an electro-magnetic field. We relate the Lie alg…