3 citations · 5 across the 3 of their papers we have counts for
4 papers
Algorithms for Quantum Control without Discontinuities; Application to the Simultaneous Control of two Qubits
Domenico D'Alessandro, Benjamin Sheller
We propose a technique to design control algorithms for a class of finite dimensional quantum systems so that the control law does not present discontinuities. The class of models…
On K-P sub-Riemannian Problems and their Cut Locus
Domenico D'Alessandro, Benjamin Sheller
The problem of finding minimizing geodesics for a manifold M with a sub-Riemannian structure is equivalent to the time optimal control of a driftless system on M with a bound on th…
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…
Supercongruences and Complex Multiplication
Jonas Kibelbek, Ling Long, Kevin Moss +2
We study congruences involving truncated hypergeometric series of the form_rF_{r-1}(1/2,...,1/2;1,...,1;λ)_{(mp^s-1)/2} = \sum_{k=0}^{(mp^s-1)/2} ((1/2)_k/k!)^r λ^k where p is a pr…