ESF Mathematics Conferences in Poland
in partnership with MSHE
and the Institute of Mathematics (PAN)

Control, Constraints and Quanta

Mathematical Research and Conference Center,
Bedlewo, Poland, 10—16 October 2007

Chair: Bronisław Jakubczyk, Institute of Mathematics, Polish Academy of Sciences, PL
Vice-Chair: Marek Kuś, Centre of Theoretical Physics, Polish Academy of Sciences, PL
Organising Committee: Witold Respondek, INSA Rouen, FR, Paweł Urbański, University of Warsaw, PL
Scientific Committee: Ingemar Bengtsson, Stockholm University, SE, Roger Brockett, Harvard University, US, Steffen Glaser, TU München, DE, Navin Khaneja, Harvard University, US, Manuel de Leon, Instituto de Matematicas y Fisica Fundamental, CSIC, ES, Giuseppe Marmo, Universita Federico II di Napoli and Istituto Nazionale di Fisica Nucleare, IT
www.esf.org/conferences/07250

Final Programme

Wednesday - 10 October

Late afternoon / early evening - Registration at the ESF-RC desk
19.45Welcome Drink
20.30Supper

Thursday - 11 October

Chairman: Bronislaw Jakubczyk, Institute of Mathematics, Polish Academy of Sciences, PL
09.00-09.15 Conference Opening
09.15-10.15 Ingemar Bengtsson, Stockholm University, SE
Quantum states - some geometrical perspectives
10.15-11.00 Maciej Lewenstein, Institut de Ciencies Fotoniques, ES
Entanglement: from linear algebra and geometry to harmonic analysis on compact groups
11.00-11.30 Coffee break
11.30-12.15 Velimir Jurdjevic, University of Toronto, CA
Integrable systems on Lie groups
12.15-12.40 D. Chruscinski (short talk)
Entangling properties of quantum channels
13.00 Lunch
Chairman: Pawel Urbanski, University of Warsaw, PL
15.00-15.45 Pierre Rouchon, Ecole Normale Superieure des Mines de Paris, FR
Invariant observer and parameter estimation of quantum systems (in collaboration with S. Bonnabel and M. Mirrahimi)
15.45-16.15 A. Zuyev, National Academy of Sciences of Ukraine, UA (short talk),
Optimal control of an infinite dimensional system with modal coordinates
16.15-16.50 Coffee break
16.50-17.15 R. Zeier (short talk), Harvard University, US
Time-optimal synthesis of unitary transformations in coupled fast and slow qubit system
17.15-17.40 Z. Mouayn, University of Cadi Ayyad, MA (short talk)
Coherent state transforms and representation theory of Lie groups. Application to uniform magnetic field on two-dimensional surfaces
18.30 Bonfire Dinner

Friday - 12 October

Chairman: Ingemar Bengtsson, Stockholm University, SE
09.00-10.00 Armin Uhlmann, Universität Leipzig, DE
The convexity of state spaces
10.00-11.00 Roger Brockett, Harvard University, US
Noise Models for Quantum Systems and Controlling for Minimal Decoherence
11.00-11.20 Coffee break
11.20-12.05 Niels Chr. Nielsen, University of Aarhus, DK
Optimal control for design and optimization of solid-state NMR experiments
12.05-12.50 Giuseppe Marmo, Università Federico II di Napoli and Istituto Nazionale di Fisica Nucleare, IT
Geometrical formulation of quantum mechanics: Zeno dynamics
13.00 Lunch
Chairman: Manuel de Leon, Institute of Mathematics and Fund, Physics CSIC, FR
15.00-15.45 Anthony Bloch, University of Michigan, US
Classical and quantum systems interacting with their environment
15.45-16.10 Pierre Rouchon, École Normale Superieure des Mines de Paris, FR
Open Quantum Systems Governed by the Lindblad Equation
16.10-16.40 Coffee break
16.40-17.05 J. Mulherkar, University of California Davis, US (short talk)
The XXZ model and applications to quantum computing
17.05-17.30 M.A. Can, Bilkent University, TR (short talk)
States of local systems can violate Bell's conditions
17.30-19.00 Poster Session
19.00 Dinner

Saturday - 13 October

Chairman: Giuseppe Marmo, University of Naples, IT
09.00-10.00 Steffen Glaser, Technische Universität München, DE
Optimal Control of Spin Systems
10.00-10.45 Uwe Helmke, Würzburg University, DE
Controllability of finite-dimensional quantum systems
10.45-11.15 Coffee break
11.15-12.00 Manuel de Leon, Instituto de Matematicas y Fisica Fundamental CSIC, ES
Optimal control in presence of nonholonomic constraints
12.00-12.45 Ugo Boscain, SISSA, IT
Controlability of the Schrödinger equation via intersection of eigenvalues
13.00 Lunch
Chairman: Anthony Bloch, University of Michigan, US
15.00-15.45 Yuri Sachkov, Russian Academy of Sciences, RU
Symmetries and cut points in optimal control problems on Lie groups
Movies: ahead.avi, eight_full.avi, full_circle.avi
15.45-16.10 J. Clemento-Gallardo, University of Zaragoza, ES (short talk)
Geometrical aspects of the space of density states
16.10-16.35 R. Dobrzanski, Polish Academy of Sciences, PL (short talk)
Effects of imperfect noise correlations on decoherence-free subsystems: SU(2) diffusion model
16.35-17.00 Coffee Break
Chairman: Marek Kus, Centre of Theoretical Physics, Warsaw, PL
17.00-19.00 Round Table: Mathematics, Theory, Experiment in QS
19.00 Dinner

Sunday - 14 October

Chairman: Roger Brockett, Harvard University, US
09.00-10.00 Navin Khaneja, Harvard University, US
Control of Spin Ensembles
10.00-10.45 Frederic Jean, ENSTA, UMA, FR
Singular trajectories: geometric aspects and genericity properties I
10.45-11.15 Coffee break
11.15-12.00 Emmanuel Trélat, Université d'Orléans, FR
Singular trajectories: geometric aspects and genericity properties II
12.00-12.45 Thomas Schulte-Herbrueggen, Technische Universität München, DE
Controlling Quanta under Constraints: Quantum Compilation by Optimal Control of Open Systems
13.00 Lunch
14.00 Excursion
19.00 Get-together & Conference Dinner

Monday - 15 October

Chairman: Marek Kus, Centre of Theoretical Physics, Warsaw, PL
09.00-09.45 Witold Respondek, INSA de Rouen, FR
Non-integrability of the optimal control problem for n-level quantum systems
09.45-10.30 Thomas Chambrion, Université de Nancy, FR
Control of the Schrödinger equation in infinite dimensions (common work with Mario Sigalotti and Paolo Manson)
10.30-11.00 Coffee break
11.00-11.45 Eduardo Martinez, University of Zaragoza, ES
Lie algebroids and groupoids in mechanics
11.45-12.10 M. Guerra, Technical University of Lisbon, PT (short talk)
Approximants of generalized minimizers of noncoercive optimal control problems
12.10-12.35 J. Sheriff, Harvard University, US (short talk)
Controllability of Electron-Nuclear Spin Systems
13.00 Lunch
Chairman: Witold Respondek, INSA de Rouen, FR
15.00-15.45 Wlodzimierz Tulczyjew, Warsaw University, PL
Density operators and selective measurements
15.45-16.30 Gregoire Charlot, University of Grenoble, FR
Optimal control of finite dimensional quantum systems
16.30-16.50 Coffee break
16.50-18.00 Get-together & Forward Look Plenary Discussion
19.00 Dinner

Tuesday - 16 October

Breakfast & Departure