4 papers
Stabilization of photon-number states via single-photon corrections: a first convergence analysis under an ideal set-up
Hector Bessa Silveira, Paulo Sergio Pereira da Silva, Pierre Rouchon
This paper presents a first mathematical convergence analysis of a Fock states feedback stabilization scheme via single-photon corrections. This measurement-based feedback has been…
A Flat Triangular Form for Nonlinear Systems with Two Inputs: Necessary and Sufficient Conditions
Hector Bessa Silveira, Paulo Sergio Pereira da Silva, Pierre Rouchon
The present work establishes necessary and sufficient conditions for a nonlinear system with two inputs to be described by a specific triangular form. Except for some regularity co…
Quantum Gate Generation by T-Sampling Stabilization
Hector Bessa Silveira, Paulo Sergio Pereira da Silva, Pierre Rouchon
This paper considers right-invariant and controllable driftless quantum systems with state X(t) evolving on the unitary group U(n) and m inputs. The T-sampling stabilization proble…
A Time-Periodic Lyapunov Approach for Motion Planning of Controllable Driftless Systems on SU(n)
H. B. Silveira, P. S. Pereira da Silva, P. Rouchon
For a right-invariant and controllable driftless system on SU(n), we consider a time-periodic reference trajectory along which the linearized control system generates su(n): such t…