Application of optimal control to CPMG refocusing pulse design

Borneman, Troy W.; Hürlimann, Martin D.; Cory, David G.

doi:10.1016/j.jmr.2010.09.003

Cited by 74 publications

(60 citation statements)

References 50 publications

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“…The recent application of optimal control methods to the problem of heteronuclear decoupling yields not only significantly improved performance [377,378] but also unprecedented flexibility in the design of tailored decoupling sequences [379][380][381]. Individual pulses were also optimized for Carr-Purcell-Meiboom-Gill echo train sequences [382,383]. Beyond individually optimized pulses, the simultaneous optimization of pulses provides significant performance gains by exploiting cooperative effects either in a single scan [384] or in multiple scans [385] with first applications in Ramsey-type experiments and in Hahn echo sequences.…”

Section: State Of the Artmentioning

confidence: 99%

“…in response to the presence of magnetic susceptibility jumps, will significantly improve their performance. In addition to MRI applications, this could be important in production or process monitoring by NMR, where the pulse sequence should be able to adapt to the sample in the same way as shim currents currently do -examples are magnetic susceptibility and tuning variations in imaging, metabolomics and oil well logging [382].…”

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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“…In NMR medical imaging [78], hyperpolarized nanoparticles [64] can be used to produce greater image quality at lower concentrations. Since the CPMG sequence has applications in oil well logging [79], its optimization [80] can increase the accuracy with which this can be accomplished. These applications of NMR QIP techniques outside of the field itself further motivate the study and use of NMR systems as quantum information processors.…”

Section: Discussionmentioning

confidence: 99%

Recent advances in nuclear magnetic resonance quantum information processing

Criger

Passante

Park

et al. 2012

Phil. Trans. R. Soc. A.

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Quantum information processors have the potential to drastically change the way we communicate and process information. Nuclear magnetic resonance (NMR) has been one of the first experimental implementations of quantum information processing (QIP) and continues to be an excellent testbed to develop new QIP techniques. We review the recent progress made in NMR QIP, focusing on decoupling, pulse engineering and indirect nuclear control. These advances have enhanced the capabilities of NMR QIP, and have useful applications in both traditional NMR and other QIP architectures.

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“…The de novo design of UR pulses for NMR spectroscopy has received comparatively little attention [9,21], so it is an open question whether the composite constructions using PP pulses achieve the best possible performance. Yet, the demonstrated capabilities of optimal control for designing PP pulses [22,23,24,25,26,27,28,29,30,31,32,33,34,35] are equally applicable to the design of UR pulses [36,37,38]. The required modifications to the basic optimal control algorithm are fairly straightforward [36,39,40] and maintain the same flexibility for incorporating tolerance to variations in experimentally important parameters, such as RF homogeneity or relaxation.…”

Section: Introductionmentioning

confidence: 99%

New strategies for designing robust universal rotation pulses: Application to broadband refocusing at low power

Skinner

Gershenzon

Nimbalkar

et al. 2012

Journal of Magnetic Resonance

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Broadband inversion pulses that rotate all magnetization components 180• about a given fixed axis are necessary for refocusing and mixing in highresolution NMR spectroscopy. The relative merits of various methodologies for generating pulses suitable for broadband refocusing are considered. The de novo design of 180• universal rotation pulses (180 • U R ) using optimal control can provide improved performance compared to schemes which construct refocusing pulses as composites of existing pulses. The advantages of broadband universal rotation by optimized pulses (BURBOP) are most evident for pulse design that includes tolerance to RF inhomogeneity or miscalibration. We present new modifications of the optimal control algorithm that incorporate symmetry principles and relax conservative limits on peak RF pulse amplitude for short time periods that pose no threat to the probe. We apply them to generate a set of 180• BU RBOP pulses suitable for widespread use in 13 C spectroscopy on the majority of available probes.

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Application of optimal control to CPMG refocusing pulse design

Cited by 74 publications

References 50 publications

Training Schrödinger’s cat: quantum optimal control

Training Schrödinger’s cat: quantum optimal control

Recent advances in nuclear magnetic resonance quantum information processing

New strategies for designing robust universal rotation pulses: Application to broadband refocusing at low power

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