Selective inversion radiofrequency pulses by optimal control

Mao, Jintong; Mareci, Thomas H.; Scott, Karen S.; Andrew, E.R.

doi:10.1016/0022-2364(86)90016-8

Cited by 76 publications

(72 citation statements)

References 13 publications

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“…Despite of its prominence in mathematics and engineering [4,5], optimal control was introduced to NMR spectroscopy [6,7] and to the realm of matter wave dynamics [8][9][10] only in the 1980s. In the latter case, the idea was to calculate, via numerical optimization, laser fields that would steer a photoinduced chemical reaction in the desired way [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Controlling open quantum systems: tools, achievements, and limitations

Koch

2016

J. Phys.: Condens. Matter

250

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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Section: Introductionmentioning

confidence: 99%

Controlling open quantum systems: tools, achievements, and limitations

Koch

2016

J. Phys.: Condens. Matter

250

222

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“…In contrast, the number of pulse parameters that can be optimized by optimal control based algorithms can be several orders of magnitude larger compared to conventional approaches. In NMR, this approach has been used so far to design bandselective pulses (9,(15)(16)(17), robust broadband excitation and inversion pulses (18)(19)(20)(21) and to explore the physical limits of pulse performance (20). Here, we demonstrate the design of pulses which create arbitrary patterns as a function of offset and rf amplitude.…”

Section: Introductionmentioning

confidence: 99%

Pattern pulses: design of arbitrary excitation profiles as a function of pulse amplitude and offset

Kobzar

Luy

Khaneja

et al. 2005

Journal of Magnetic Resonance

107

115

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“…In NMR, this approach has been used to design band-selective pulses [8,9,10], robust broadband excitation and inversion pulses [11,12,13]. However, previous studies in NMR were limited to uncoupled spin systems whose dynamics is governed by the Bloch equations.…”

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confidence: 99%