24 citations · 67 across the 16 of their papers we have counts for
17 papers
Symmetric States and Dynamics of Three Quantum Bits
Francesca Albertini, Domenico D'Alessandro
The unitary group acting on the Hilbert space of three quantum bits admits a Lie subgroup, of elements which permute with the symmetric group of permutations. Under the action of s…
Subspace controllability of multi-partite spin networks
Francesca Albertini, Domenico D'Alessandro
In a network of spin 1/2 particles, controlled through an external electro-magnetic field, the gyromagnetic ratio of each spin is a parameter that characterizes the interaction of…
Subspace controllability of bipartite symmetric spin networks under global control
Francesca Albertini, Domenico D'Alessandro
We consider a class of spin networks where each spin in a certain set interacts, via Ising coupling, with a set of central spins, and the control acts simultaneously on all the spi…
Controllability of Symmetric Spin Networks
Francesca Albertini, Domenico D'Alessandro
We consider a network of n spin 1/2 systems which are pairwise interacting via Ising interaction and are controlled by the same electro-magnetic control field. Such a system presen…
Sub-Riemannian Geodesics on SU(n)/S(U(n-1)xU(1)) and Optimal Control of Three Level Quantum Systems
Francesca Albertini, Domenico D'Alessandro, Benjamin Sheller
We study the time optimal control problem for the evolution operator of an n-level quantum system from the identity to any desired final condition. For the considered class of quan…
On Symmetries in Time Optimal Control, sub-Riemannian Geometries and the K-P Problem
Francesca Albertini, Domenico D'Alessandro
The goal of this paper is to describe a method to solve a class of time optimal control problems which are equivalent to finding the sub-Riemannian minimizing geodesics on a manifo…