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Quantum Control Engineering: Mathematical Principles and Applications

Participation in INI programmes is by invitation only. Anyone wishing to apply to participate in the associated workshop(s) should use the relevant workshop application form.

21st July 2014 to 15th August 2014
Madalin Guta [Nottingham], University of Nottingham
John Gough [Aberystwyth], Aberystwyth University
Matt James [Canberra], Australian National University
Hideo Mabuchi [Stanford]
Ian Walmsley [Oxford], University of Oxford


Scientific Advisory Committee: Peter Zoller (Innsbruck), Gerard Milburn (Queensland), K. Birgitta Whaley (Berkeley), Tommaso Calarco (Ulm), Navin Khaneja (Harvard)

Programme Theme

We are currently entering a new technological era in which we are able to build systems whose performance is limited by quantum physical effects and in which it may be possible to exploit non-classical phenomena in novel ways. To this end, there has been considerable recent interest in engineering quantum systems and at the heart of this is the development of a quantum control theory dedicated to extending classical control to the quantum domain. Examples already utilizing control of one sort or another include quantum electromechanical systems, quantum dots, cooper-pair boxes, superconducting interference devices, ion traps, as well as a large selection of optical devices. It is clear that a mathematical framework is essential for the future development of quantum control as an engineering discipline.


The aim of the programme is to bring together experimentalists and theoreticians working in quantum engineering to identify the core mathematical issues and challenges ahead. The challenges we wish to focus upon (both from the mathematical and experimental viewpoint) are

  • Quantum filtering and the application to quantum measurement and metrology
  • Quantum open-loop schemes
  • Quantum feedback networks and the design of quantum controllers
  • Quantum statistics and estimation and the connection with filtering and control
  • Quantum information processing and its relevance to quantum control and error correction


The nature of this field is strongly cross-disciplinary and we aim to give introductory seminars in the underpinning concepts of quantum open systems modelling, and mathematical control theory. We plan to hold a workshop "Principles and Applications of Control in Quantum Systems 2014" during the programme which will survey the current state of development. We also wish to hold a number of round table discussions focussing on future directions and their exploitation.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons