CY-McGill Mathematical Physics Weekly Digital Seminar on Quantum Control

Organizers: V. Jaksic (McGill), F. Koukiou (CY), A. Shirikyan (CY)

This series of lectures will take place on Thurdays at UCT 12 and is open to PhD students and researchers.

Syllabus 

• A brief historical introduction and some physical arguments on open quantum systems (heuristic approach), and a brief introduction to the classical stochastic filtering theory (reference probability method);
• Introduction to quantum filtering theory (reference probability method), and stochastic master equations in diffusion case (describes the time evolution of the state of finite-dimensional quantum systems undergoing continuous-time measurements );
• Introduction to stochastic control theory, and literature reviews on feedback stabilization of spin-J systems undergoing imperfect continuous-time measurements with known initial states;
• Exponential feedback stabilization of spin-1/2 and two-qubits systems undergoing imperfect continuous-time measurements with known initial states;
• Exponential feedback stabilization of spin-J and multi-qubits systems undergoing imperfect continuous-time measurements with known initial states;
• Robustness of stabilizing for spin-1/2 systems undergoing imperfect continuous-time measurements with unknown initial states;
• Robustness of stabilizing for spin-J systems undergoing imperfect continuous-time measurements with unknown initial states;
• Robustness of stabilizing for finite-dimensional quantum systems undergoing imperfect continuous-time measurements with unknown initial states and in presence of delay in feedback-loop.

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Calendar:

The sessions will be held on Thursdays, 2:00-4:00 PM (Paris time), and are scheduled for:

October: 8, 15, 22;

November: 5,12, 19, 26;

December: 3,10
 

The lectures are available on the CY AS  YouTube Channel.
 

1 Lecture 8 October 2020

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2 Lecture 15 October 2020

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3 Lecture 22 October 2020

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4 Lecture 05 November 2020

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5 Lecture: 12 November 2020

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6 Lecture: 19 November 2020

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7 Lecture: 26 November 2020

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Contact :

Francesca Rondina: francesca.rondina@cyu.fr