Événements
Séminaire IQ - Pierre Rouchon
Date : 25 avril 2024 13:30
Type : Institut Quantique
Lieu :
Lieu/Location : Auditorium de l'IQ
Langue/Language : English
Pierre Rouchon
MinesParisTech, PSL Research University, Paris, France
Invité d'Yves Bérubé-Lauzière
Titre/Title
Quantum filtering and estimation based on stochastic master equations
Résumé/Abstract
Quantum state and parameter estimation, i.e., quantum state and process tomography, are usually based on positive operator-valued measures (POVM) and on their experimental statistics. Among the available reconstruction techniques, the maximum-likelihood (MaxLike) algorithm is an efficient one. We describe here an extension of such a MaxLike algorithm when the measurement process cannot be simply described by POVM, but by stochastic master equations either in continuous or in discrete time. Offline estimation relies on a set of quantum trajectories and their measurement records. Online estimation along a single trajectory is then based on a quantum filter for the density operator coupled to other ones for the parameters. Some simulation and experimental implementations are discussed.
Bio
Pierre Rouchon is Professor at Centre Automatique et Systèmes (CAS) at MinesParisTech, PSL Research University, in Paris, France. He is also a researcher in the QUANTIC group at INRIA in Paris. He obtained his engineering degree from École Polytechnique in Paris (X80) and his PhD degree from École des mines de Paris. He is an expert in control engineering for both classical and quantum systems, with a strong emphasis on real-world applications. One of his numerous contributions is to have made it possible, in joint work with Serge Haroche (2012 Nobel Prize), to prepare in a real experiment specific Fock states deterministically using measurements-based quantum feedback control.
Langue/Language : English
Pierre Rouchon
MinesParisTech, PSL Research University, Paris, France
Invité d'Yves Bérubé-Lauzière
Titre/Title
Quantum filtering and estimation based on stochastic master equations
Résumé/Abstract
Quantum state and parameter estimation, i.e., quantum state and process tomography, are usually based on positive operator-valued measures (POVM) and on their experimental statistics. Among the available reconstruction techniques, the maximum-likelihood (MaxLike) algorithm is an efficient one. We describe here an extension of such a MaxLike algorithm when the measurement process cannot be simply described by POVM, but by stochastic master equations either in continuous or in discrete time. Offline estimation relies on a set of quantum trajectories and their measurement records. Online estimation along a single trajectory is then based on a quantum filter for the density operator coupled to other ones for the parameters. Some simulation and experimental implementations are discussed.
Bio
Pierre Rouchon is Professor at Centre Automatique et Systèmes (CAS) at MinesParisTech, PSL Research University, in Paris, France. He is also a researcher in the QUANTIC group at INRIA in Paris. He obtained his engineering degree from École Polytechnique in Paris (X80) and his PhD degree from École des mines de Paris. He is an expert in control engineering for both classical and quantum systems, with a strong emphasis on real-world applications. One of his numerous contributions is to have made it possible, in joint work with Serge Haroche (2012 Nobel Prize), to prepare in a real experiment specific Fock states deterministically using measurements-based quantum feedback control.