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Journal of Astrophysics & Aerospace Technology | ISSN: 2329-6542 | Volume 6
Planetary Science and Particle Physics
International Conference on
August 27-28, 2018 | Boston, USA
Robust and optimal quantum control for some classes of linear quantum systems
Aline I Maalouf
The Australian National University, Australia
Statement of the Problem:
As experimental quantum technology continues to improve, the idea of manipulating microscale quantum
processes rather than just observing them is rapidly gaining ground. In particular, the manipulation of quantum systems using
continuous measurement and feedback control has generated increasing interest in the last few years due to its potential applications
in metrology, communications and other quantum technologies. Also, the area of quantum control is of theoretical interest, since it
connects the well-developed field of classical optimal control theory to fundamental questions regarding the structure of information
and disturbances in quantummechanics. Therefore, significant interest has emerged in the area of quantum feedback control systems.
Extending classical control theory to the quantum domain; i.e., to physical systems whose behavior is not governed by classical
physics but dominated by quantum effects, has become an important area of research. It is also an essential prerequisite for the
development of novel technologies such as quantum information processing, as well as new applications in quantum optics, quantum
electronics and quantum chemistry. The most effective strategies in classical control applications involve feedback control. However,
the implementation of classical feedback control for quantum systems poses severe challenges since quantum measurements tend to
destroy the state of the system (wave-packet reduction). Nevertheless, the possibility of continuous monitoring and manipulation on
a natural time-scale has recently become realistic for some quantum systems. This may be viewed as a first step in the direction of
closing the gap between quantum feedback control and classical control theory. In this talk, I will define robust and optimal quantum
control which are at the core of feedback control from an engineering perspective and go through my own contributions in that
domain.
Findings:
A finite horizon H∞ control problem is solved for a class of linear quantum systems using a dynamic game approach for the
case of continuous, sampled-data and delay measurements. The methodology adopted involves an equivalence between the quantum
problem and two auxiliary classical problems.
alinemaalouf@hotmail.comJ Astrophys Aerospace Technol 2018, Volume 6
DOI: 10.4172/2329-6542-C2-021