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Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences

Principles and applications of quantum control engineering

John Edward Gough

Published Oct 22, 2012• 42 citations
Publisher

Abstract

This is a brief survey of quantum feedback control and specifically follows on from the two-day conference Principles and applications of quantum control engineering, which took place in the Kavli Royal Society International Centre at Chicheley Hall, on 12-13 December 2011. This was the eighth in a series of principles and applications of control to quantum systems workshops.

DOI
10.1098/rsta.2012.0370

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Principles and applications of quantum control engineering

John Edward Gough

Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences•Oct 22, 2012•7 citations
This is a brief survey of quantum feedback control and specifically follows on from the two-day conference Principles and applications of quantum control engineering, which took place in the Kavli Royal Society International Centre at Chicheley Hall, on 12-13 December 2011. This was the eighth in a series of principles and applications of control to quantum systems workshops.
Abstract : During the three-year performance period we have carried out a program of theoretical research on the foundations and potential applications of coherent-feedback quantum control. We have focused on potential applications in quantum-enhanced meterology and information processing, and on hardware platforms of an optical or opto-mechanical nature. The studies we have been performing begin to build a picture of how coherent feedback can provide a kind of circuit/network theory for quantum engineering, enabling rigorous analysis and numerical simulation of advanced devices and systems. We have begun to establish analytical approaches for comparing the performance of quantum-enhanced feedback control systems with classical counterparts, leveraging canonical results from classical control theory together with advanced methods for numerical simulations of proposed quantum systems. All of our results point to the interest of continued future study in this area, and of future investments in the experimental realization of the kinds of systems we propose.
This grant supported a workshop, held at Caltech in August 2004, that brought together experts in quantum mechanics, control theory, and dynamical systems for an exchange of ideas on the analysis, control, and design of quantum systems. One of the major goals of the workshop was to establish substantive technical interactions between physicists working on quantum 'applications' and control and dynamical systems researchers who have insights and tools but lack a concrete sense of what problems are of primary interest. The workshop highlighted anticipated applications of quantum control in quantum information science, control of molecular reactions, and design of electronic and photonic nanostructures. The workshop results are available on the web and documented in a paper that has been submitted to the International Journal of Robust and Nonlinear Control.
Abstract We describe in this article some key themes that emerged during a Caltech/AFOSR Workshop on ‘Principles and Applications of Control in Quantum Systems’ (PRACQSYS), held 21–24 August 2004 at the California Institute of Technology. This workshop brought together engineers, physicists and applied mathematicians to construct an overview of new challenges that arise when applying constitutive methods of control theory to nanoscale systems whose behaviour is manifestly quantum. Its primary conclusions were that the number of experimentally accessible quantum control systems is steadily growing (with a variety of motivating applications), that appropriate formal perspectives enable straightforward application of the essential ideas of classical control to quantum systems, and that quantum control motivates extensive study of model classes that have previously received scant consideration. Copyright © 2005 John Wiley & Sons, Ltd.