activity
20152022
most citedModified Newton-Raphson GRAPE methods for optimal control of spin systems

74 citations · 230 across the 7 of their papers we have counts for

collaborators

8 papers

math.OC2022

Accelerated Newton-Raphson GRAPE methods for optimal control

David L. Goodwin, Mads Sloth Vinding

A Hessian based optimal control method is presented in Liouville space to mitigate previously undesirable polynomial scaling of computation time. This new method, an improvement to…

physics.chem-ph2021★ 14 cited

Concurrent J-Evolving Refocusing Pulses

Sebastian Ehni, Martin R. M. Koos, Tony Reinsperger +3

Conventional refocusing pulses are optimised for a single spin without considering any type of coupling. However, despite the fact that most couplings will result in undesired dist…

physics.med-ph2021

Optimal control gradient precision trade-offs: application to fast generation of DeepControl libraries for MRI

Mads Sloth Vinding, David L. Goodwin, Ilya Kuprov +1

We have recently demonstrated supervised deep learning methods for rapid generation of radiofrequency pulses in magnetic resonance imaging (https://doi.org/10.1002/mrm.27740, https…

quant-ph2018

Advanced Optimal Control Methods for Spin Systems

David L. Goodwin

Work within this thesis advances optimal control algorithms for application to magnetic resonance systems. Specifically, presenting a quadratically convergent version of the gradie…

quant-ph2018★ 45 cited

Optimal control of mirror pulses for atom interferometry

Jack Saywell, Ilya Kuprov, David Goodwin +2

Atom matterwave interferometry requires mirror and beamsplitter pulses that are robust to inhomogeneities in field intensity, magnetic environment, atom velocity and Zeeman sub-sta…

physics.chem-ph2017★ 26 cited

Feedback control optimisation of ESR experiments

David L. Goodwin, William K. Myers, Christiane R. Timmel +1

Numerically optimised microwave pulses are used to increase excitation efficiency and modulation depth in electron spin resonance experiments performed on a spectrometer equipped w…

quant-ph2015★ 74 cited

Modified Newton-Raphson GRAPE methods for optimal control of spin systems

D. L. Goodwin, Ilya Kuprov

Quadratic convergence throughout the active space is achieved for the gradient ascent pulse engineering (GRAPE) family of quantum optimal control algorithms. We demonstrate in this…

quant-ph2015★ 71 cited

Auxiliary matrix formalism for interaction representation transformations, optimal control and spin relaxation theories

D. L. Goodwin, Ilya Kuprov

Auxiliary matrix exponential method is used to derive simple and numerically efficient general expressions for the following, historically rather cumbersome and hard to compute, th…