Weakly Coupled Systems in Quantum Control

Boussaïd, Nabile; Caponigro, Marco; Chambrion, Thomas

doi:10.1109/tac.2013.2255948

Cited by 51 publications

(61 citation statements)

References 25 publications

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“…An important result is a general obstruction property to exact controllability [33,36,37]. This was recently amended by positive results about exact [38][39][40] and approximate controllability [32,[41][42][43][44], based on Galerkin techniques. For the specific case of a generalized Jaynes-Cummings model, i.e., several two-level systems coupled to a harmonic oscillator, symmetry methods were used to assess controllability [45,46].…”

Section: State Of the Artmentioning

confidence: 99%

“…For infinite-dimensional open systems with a discrete spectrum that undergo Markovian evolution, a rigorous understanding is nontrivial, but may be pursued by extending the standard LieGalerkin techniques to non-unitary evolution. With the final goal of identifying sufficient conditions for approximate controllability of open systems analogous to closed systems [32,41,43], a mid-term perspective is to perform a sound regularity analysis of a well-posed and defined mathematical control problem.…”

Section: Mid-term Prospects: Goals and Challengesmentioning

confidence: 99%

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Training Schrödinger’s cat: quantum optimal control

et al. 2015

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Abstract. It is control that turns scientific knowledge into useful technology: in physics and engineering it provides a systematic way for driving a dynamical system from a given initial state into a desired target state with minimized expenditure of energy and resources. As one of the cornerstones for enabling quantum technologies, optimal quantum control keeps evolving and expanding into areas as diverse as quantumenhanced sensing, manipulation of single spins, photons, or atoms, optical spectroscopy, photochemistry, magnetic resonance (spectroscopy as well as medical imaging), quantum information processing and quantum simulation. In this communication, state-of-the-art quantum control techniques are reviewed and put into perspective by a consortium of experts in optimal control theory and applications to spectroscopy, imaging, as well as quantum dynamics of closed and open systems. We address key challenges and sketch a roadmap for future developments. ForewordThe authors of this paper represent the QUAINT consortium, a European Coordination Action on Optimal Control of Quantum Systems, funded by the European Commission Framework Programme 7, Future Emerging Technologies FET-OPEN programme and the Virtual Facility for Quantum Control (VF-QC). This consortium has considerable expertise in optimal control theory and its applications to quantum systems, both in existing areas, such as spectroscopy and imaging, and in emerging quantum technologies, such as quantum information processing, quantum communication, quantum simulation a e-mail: fwm@lusi.uni-sb.de and quantum sensing. The list of challenges for quantum control has been gathered by a broad poll of leading researchers across the communities of general and mathematical control theory, atomic, molecular-, and chemical physics, electron and nuclear magnetic resonance spectroscopy, as well as medical imaging, quantum information, communication and simulation. 144 experts in these fields have provided feedback and specific input on the state of the art, mid-term and long-term goals. Those have been summarized in this document, which can be viewed as a perspectives paper, providing a roadmap for the future development of quantum control. Because such an endeavour can hardly ever be complete (there are many additional areas of quantum control applications, such as spintronics, nano-optomechanical technologies etc.), this roadmap

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Section: State Of the Artmentioning

confidence: 99%

Section: Mid-term Prospects: Goals and Challengesmentioning

confidence: 99%

Training Schrödinger’s cat: quantum optimal control

et al. 2015

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“…[107]. Moreover, it appears to be promising for two reasons -it does not rely on a priori assumptions on the reduced dynamics, and most likely it will benefit from recent progress in the controllability of infinite-dimensional systems [108][109][110][111].…”

Section: A Controllability Of Open Quantum Systemsmentioning

confidence: 99%

Controlling open quantum systems: tools, achievements, and limitations

Koch

2016

J. Phys.: Condens. Matter

251

222

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The advent of quantum devices, which exploit the two essential elements of quantum physics, coherence and entanglement, has sparked renewed interest in the control of open quantum systems. Successful implementations face the challenge to preserve the relevant nonclassical features at the level of device operation. A major obstacle is decoherence which is caused by interaction with the environment. Optimal control theory is a tool that can be used to identify control strategies in the presence of decoherence. We review here recent advances in optimal control methodology that allow for tackling typical tasks in device operation for open quantum systems and discuss examples of relaxation-optimized dynamics. Optimal control theory is also a useful tool to exploit the environment for control. We discuss examples and point out possible future extensions.

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“…The possible relations of this obstruction result and the concepts introduced in Boussaïd et al (2013) will be the subject of further investigations in future works.…”

Section: Resultsmentioning

confidence: 82%