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Optimal Control Solutions to the Magnetic Resonance Selective Excitation Problem

https://doi.org/10.1109/tmi.1986.4307754
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Volumetric NMR imaging with time‐varying gradients
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Norm estimates for inverses of Vandermonde matrices
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Control systems on Lie groups
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The solution of the bloch equations in the presence of a varying B1 field—An approach to selective pulse analysis
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Selective pulses in NMR imaging: A reply to criticism
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Volume-selective excitation. A novel approach to topical NMR
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Highly selective and π pulse generation
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A systematic design procedure for selective pulses in NMR imaging
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Image formation in NMR by a selective irradiative process
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Three-dimensional NMR imaging using selective excitation
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A Spin Echo Chemical Shift MR Imaging Technique
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Computer simulation of selective excitation in n.m.r. imaging
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Introduction to linear and nonlinear programming
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Bilinear systems: An appealing class of "nearly linear" systems in theory and applications
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Effect of Amplitude Modulation on Selective Excitation in NMR Imaging
inferredcites →https://doi.org/10.1118/1.595702openalex-snapshot
A multiple‐pulse sequence for improved selective excitation in magnetic resonance imaging
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Thin-section definition in magnetic resonance imaging. Technical concepts and their implementation.
inferredcites →https://doi.org/10.1201/9781315137667openalex-snapshot
Applied Optimal Control
inferredcites →https://doi.org/10.2307/2312867openalex-snapshot
The Mathematical Theory of Optimal Processes.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Qocttools: A Program for Quantum Optimal Control Calculations
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Optimal Design Of Selective Excitation Pulses In Magnetic Resonance Imaging Using Genetic Algorithms
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Selective Excitation in MRI and MR Spectroscopy
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Shaped Pulses
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Next‐Generation Heteronuclear Decoupling for High‐Field Biomolecular NMR Spectroscopy
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Ultrabroadband 1D and 2D NMR Spectroscopy
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RF pulse optimization for Bloch‐Siegert B mapping
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Storage of magnetization as singlet order by optimal control designed pulses
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Three-dimensional hadamard-encoded proton spectroscopic imaging in the human brain using time-cascaded pulses at 3 tesla
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Spin echoes in the regime of weak dephasing
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Local SAR, global SAR, and power‐constrained large‐flip‐angle pulses with optimal control and virtual observation points
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Application of spin echoes in the regime of weak dephasing to T1‐mapping of the lung
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Simultaneous multislice refocusing via time optimal control
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CEST imaging at 9.4 T using adjusted adiabatic spin‐lock pulses for on‐ and off‐resonant T1⍴‐dominated Z‐spectrum acquisition
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A simplified framework to optimize MRI contrast preparation
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A flexible framework for the design and optimization of water‐excitation RF pulses using B‐spline interpolation
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Multidimensional RF pulse design using auto‐differentiable spin‐domain optimization and its application to reduced field‐of‐view imaging
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Optimizing Selective RF Pulses for Enhanced Signal Stability in Turbo Spin Echo Using a Differentiable Extended Phase Graph Model
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Parallel transmission for ultrahigh‐field imaging
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Optimal Control‐Based Generic Framework for Radiofrequency Pulse Design in MRI
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Optimal Control‐Based RF Pulses Versus Classical Motion‐Encoding Strategies for In Vivo Hepatic MR Elastography Across Multiple Excitation Frequencies in Mice: Reproducibility Assessment
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The design of excitation pulses for spin systems using optimal control theory: With application to NMR spectroscopy
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In VivoLactate Editing with Simultaneous Detection of Choline, Creatine, NAA, and Lipid Singlets at 1.5 T Using PRESS Excitation with Applications to the Study of Brain and Head and Neck Tumors
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Signal-to-Noise Ratio Comparison of Encoding Methods for Hyperpolarized Noble Gas MRI
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A novel analysis of selective excitation and phase reversal
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The equivalence of spin inversion and phase reversal using symmetric pulses
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Optimized frequency/phase-modulated broadband inversion pulses
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Projection presaturation. II. Single-shot localization of multiple regions of interest
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Pulse shaping in quadrupole-echo NMR
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180° refocusing pulses which are insensitive to static and radiofrequency field inhomogeneity
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Testing the limits of shape optimization by large-flip-angle pulses
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Slice profile improvement for a clinical MRI system
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Optimization schemes for selective excitations: Application to the digger pulses
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An integrated program for amplitude-modulated RF pulse generation and re-mapping with shaped gradients
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Applications of Shaped Pulses to High-Resolution Nuclear Magnetic Resonance in Dipolar Broadened Spin Systems
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BASIC RADIOFREQUENCY PULSE FUNCTIONS
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A SPIRED code for the reconstruction of spin distribution
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Improving the time efficiency of the Fourier synthesis method for slice selection in magnetic resonance imaging
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Equi-ripple design of quadratic-phase RF pulses
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Reducing the duration of broadband excitation pulses using optimal control with limited RF amplitude
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Exploring the limits of broadband excitation and inversion pulses
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Tailoring the optimal control cost function to a desired output: application to minimizing phase errors in short broadband excitation pulses
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Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms
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Pattern pulses: design of arbitrary excitation profiles as a function of pulse amplitude and offset
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Construction of universal rotations from point-to-point transformations
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Optimal control design of constant amplitude phase-modulated pulses: Application to calibration-free broadband excitation
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Exploring the limits of polarization transfer efficiency in homonuclear three spin systems
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Optimal control design of excitation pulses that accommodate relaxation
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Linear phase slope in pulse design: Application to coherence transfer
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Exploring the limits of broadband excitation and inversion: II. Rf-power optimized pulses
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Optimal control in NMR spectroscopy: Numerical implementation in SIMPSON
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RF pulses for in vivo spectroscopy at high field designed under conditions of limited power using optimal control
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Cooperative pulses
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Application of optimal control to CPMG refocusing pulse design
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Robust slice-selective broadband refocusing pulses
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New strategies for designing robust universal rotation pulses: Application to broadband refocusing at low power
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Optimal control design of band-selective excitation pulses that accommodate relaxation and RF inhomogeneity
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Designing optimal universal pulses using second-order, large-scale, non-linear optimization
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Tailored real-time scaling of heteronuclear couplings
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Slice-selective broadband refocusing pulses for the robust generation of crushed spin-echoes
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Preserving the excitation profile of small flip angle RF pulses in the presence of rapid transverse relaxation
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Dynamic nuclear polarization and optimal control spatial-selective 13C MRI and MRS
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Design of non-selective refocusing pulses with phase-free rotation axis by gradient ascent pulse engineering algorithm in parallel transmission at 7T
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Broadband CPMG sequence with short composite refocusing pulses
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BEBEtr and BUBI: J-compensated concurrent shaped pulses for 1H–13C experiments
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Optimized multiple-quantum filter for robust selective excitation of metabolite signals
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Heteronuclear refocusing by nonlinear phase and amplitude modulation on a single transmitter channel
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Direct optimization of signal-to-noise ratio of CPMG-like sequences in inhomogeneous fields
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Real-time 2D spatially selective MRI experiments: Comparative analysis of optimal control design methods
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First and second order derivatives for optimizing parallel RF excitation waveforms
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Efficient high-resolution RF pulse design applied to simultaneous multi-slice excitation
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Sodium inversion recovery MRI on the knee joint at 7 T with an optimal control pulse
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Perspectives of shaped pulses for EPR spectroscopy
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Optimal control design of preparation pulses for contrast optimization in MRI
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Active control of the spatial MRI phase distribution with optimal control theory
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Rapid convergence of optimal control in NMR using numerically-constructed toggling frames
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An optimal control approach to design entire relaxation dispersion experiments
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Constant gradient elastography with optimal control RF pulses
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Optimization of phase dispersion enables broadband excitation without homonuclear coupling artifacts
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Accuracy and performance analysis for Bloch and Bloch-McConnell simulation methods
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Optimal control gradient precision trade-offs: Application to fast generation of DeepControl libraries for MRI
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Concurrent J-evolving refocusing pulses
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Extending numerical simulations in SIMPSON: Electron paramagnetic resonance, dynamic nuclear polarisation, propagator splitting, pulse transients, and quadrupolar cross terms
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Minimisation of slab-selective radiofrequency excitation pulse durations constrained by an acceptable aliasing coefficient
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Implementation and applications of shaped pulses in EPR
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Relaxation-selective magnetic resonance imaging
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Numerical Simulations in Biological Solid-State NMR Spectroscopy
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Shaped radiofrequency pulses in high resolution NMR
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Velocity sensitivity of slice-selective excitation
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Application of optimal control theory to the design of broadband excitation pulses for high-resolution NMR
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Improving Solid-State NMR Dipolar Recoupling by Optimal Control
inferred← citeshttps://doi.org/10.1029/wr026i011p02807openalex-snapshot
Use of Nuclear Magnetic Resonance as an Experimental Probe in Multiphase Systems: Determination of the Instrument Weight Function for Measurements of Liquid‐Phase Volume Fractions
inferred← citeshttps://doi.org/10.1038/s41467-018-05400-4openalex-snapshot
Optimal control theory enables homonuclear decoupling without Bloch–Siegert shifts in NMR spectroscopy
inferred← citeshttps://doi.org/10.1038/s41467-020-19325-4openalex-snapshot
Nearest-neighbor NMR spectroscopy: categorizing spectral peaks by their adjacent nuclei
inferred← citeshttps://doi.org/10.1038/s41598-022-05262-3openalex-snapshot
Short echo time dual-frequency MR Elastography with Optimal Control RF pulses
inferred← citeshttps://doi.org/10.1038/s42005-019-0174-0openalex-snapshot
Hybrid-state free precession in nuclear magnetic resonance
inferred← citeshttps://doi.org/10.1038/s42256-021-00411-1openalex-snapshot
Deep reinforcement learning-designed radiofrequency waveform in MRI
inferred← citeshttps://doi.org/10.1063/1.1465412openalex-snapshot
Design of strongly modulating pulses to implement precise effective Hamiltonians for quantum information processing
inferred← citeshttps://doi.org/10.1063/1.2903458openalex-snapshot
Optimal control design of NMR and dynamic nuclear polarization experiments using monotonically convergent algorithms
inferred← citeshttps://doi.org/10.1063/1.3253796openalex-snapshot
A pseudospectral method for optimal control of open quantum systems
inferred← citeshttps://doi.org/10.1063/1.3425880openalex-snapshot
Quantum-dynamical consequences of the permutation symmetry of methyl groups
inferred← citeshttps://doi.org/10.1063/1.3541253openalex-snapshot
A multidimensional pseudospectral method for optimal control of quantum ensembles
inferred← citeshttps://doi.org/10.1063/1.454384openalex-snapshot
Optimal control of selective vibrational excitation in harmonic linear chain molecules
inferred← citeshttps://doi.org/10.1063/1.458438openalex-snapshot
Quantum mechanical optimal control of physical observables in microsystems
inferred← citeshttps://doi.org/10.1063/1.459680openalex-snapshot
On using shaped light pulses to control the selectivity of product formation in a chemical reaction: An application to a multiple level system
inferred← citeshttps://doi.org/10.1063/1.464587openalex-snapshot
Optimal control of the electric susceptibility of a molecular gas by designed nonresonant laser pulses of limited amplitude
inferred← citeshttps://doi.org/10.1063/1.4739755openalex-snapshot
Fast numerical design of spatial-selective rf pulses in MRI using Krotov and quasi-Newton based optimal control methods
inferred← citeshttps://doi.org/10.1063/1.5031154openalex-snapshot
Optimal control RF pulses for excitation and suppression of NMR signals in a conductive medium
inferred← citeshttps://doi.org/10.1073/pnas.1009797108openalex-snapshot
Optimal pulse design in quantum control: A unified computational method
inferred← citeshttps://doi.org/10.1080/00150199708213466openalex-snapshot
Optimal control of laser induced transient birefringence in liquid crystals
inferred← citeshttps://doi.org/10.1088/0031-9155/32/12/001openalex-snapshot
Computer simulation of the slice profile in magnetic-resonance imaging
inferred← citeshttps://doi.org/10.1088/0266-5611/6/1/012openalex-snapshot
Inversion of the Bloch transform in magnetic resonance imaging using asymmetric two-component inverse scattering
inferred← citeshttps://doi.org/10.1088/0953-8984/28/21/213001openalex-snapshot
Controlling open quantum systems: tools, achievements, and limitations
inferred← citeshttps://doi.org/10.1088/1367-2630/16/11/115002openalex-snapshot
Concurrently optimized cooperative pulses in robust quantum control: application to broadband Ramsey-type pulse sequence elements
inferred← citeshttps://doi.org/10.1093/pnasnexus/pgac133openalex-snapshot
High-fidelity control of spin ensemble dynamics via artificial intelligence: from quantum computing to NMR spectroscopy and imaging
inferred← citeshttps://doi.org/10.1097/rmr.0000000000000204openalex-snapshot
Parallel Transmission for Ultrahigh Field MRI
inferred← citeshttps://doi.org/10.1103/physreva.104.063112openalex-snapshot
Greedy reconstruction algorithm for the identification of spin distribution
inferred← citeshttps://doi.org/10.1103/physreva.105.042618openalex-snapshot
Exploring the limits of the generation of nonclassical states of spins coupled to a cavity by optimal control
inferred← citeshttps://doi.org/10.1103/physreva.37.4950openalex-snapshot
Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications
inferred← citeshttps://doi.org/10.1103/physreva.48.2549openalex-snapshot
Optimal control of classical systems with explicit quantum-classical-difference reduction
inferred← citeshttps://doi.org/10.1103/physreva.57.3788openalex-snapshot
Echo in optical lattices: Stimulated revival of breathing oscillations
inferred← citeshttps://doi.org/10.1103/physreva.90.013409openalex-snapshot
Application of the Pontryagin maximum principle to the time-optimal control in a chain of three spins with unequal couplings
inferred← citeshttps://doi.org/10.1103/physreva.92.053414openalex-snapshot
Time-optimal polarization transfer from an electron spin to a nuclear spin
inferred← citeshttps://doi.org/10.1103/physreva.92.063615openalex-snapshot
Tunable Chern insulator with optimally shaken lattices
inferred← citeshttps://doi.org/10.1103/physreva.93.043410openalex-snapshot
Fully efficient time-parallelized quantum optimal control algorithm
inferred← citeshttps://doi.org/10.1103/physreva.96.053419openalex-snapshot
Optimizing fingerprinting experiments for parameter identification: Application to spin systems
inferred← citeshttps://doi.org/10.1103/physreva.97.042348openalex-snapshot
Optimized cross-resonance gate for coupled transmon systems
inferred← citeshttps://doi.org/10.1103/physreva.98.023425openalex-snapshot
Optimal control of an inhomogeneous spin ensemble coupled to a cavity
inferred← citeshttps://doi.org/10.1103/physreva.98.043421openalex-snapshot
Time-optimal selective pulses of two uncoupled spin-1/2 particles
inferred← citeshttps://doi.org/10.1103/physreva.99.053415openalex-snapshot
Optimal periodic control of spin systems: Application to the maximization of the signal-to-noise ratio per unit time
inferred← citeshttps://doi.org/10.1103/physrevapplied.17.064028openalex-snapshot
Optimal Control of Molecular Spin Qudits
inferred← citeshttps://doi.org/10.1103/physrevapplied.19.064067openalex-snapshot
Compensating for Nonlinear Distortions in Controlled Quantum Systems
inferred← citeshttps://doi.org/10.1103/physreve.55.2522openalex-snapshot
Cooperating with nonequilibrium fluctuations through their optimal control
inferred← citeshttps://doi.org/10.1103/physrevlett.104.083001openalex-snapshot
Singular Extremals for the Time-Optimal Control of Dissipative Spin 12 Particles
inferred← citeshttps://doi.org/10.1103/physrevlett.111.170801openalex-snapshot
High-Dynamic-Range Imaging of Nanoscale Magnetic Fields Using Optimal Control of a Single Qubit
inferred← citeshttps://doi.org/10.1103/physrevlett.120.150401openalex-snapshot
Tunable, Flexible, and Efficient Optimization of Control Pulses for Practical Qubits
inferred← citeshttps://doi.org/10.1103/physrevresearch.2.033157openalex-snapshot
Second order phase dispersion by optimized rotation pulses
inferred← citeshttps://doi.org/10.1103/physrevresearch.5.l012042openalex-snapshot
Accelerated Newton-Raphson GRAPE methods for optimal control
inferred← citeshttps://doi.org/10.1103/prxquantum.2.030203openalex-snapshot
Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control
inferred← citeshttps://doi.org/10.1109/10.972838openalex-snapshot
Iterative RF pulse refinement for magnetic resonance imaging
inferred← citeshttps://doi.org/10.1109/42.232266openalex-snapshot
An optimal design method for magnetic resonance imaging gradient waveforms
inferred← citeshttps://doi.org/10.1109/42.75611openalex-snapshot
Parameter relations for the Shinnar-Le Roux selective excitation pulse design algorithm (NMR imaging)
inferred← citeshttps://doi.org/10.1109/5.9655openalex-snapshot
Recent advances in magnetic resonance
inferred← citeshttps://doi.org/10.1109/51.464779openalex-snapshot
Adapted waveform encoding for magnetic resonance imaging
inferred← citeshttps://doi.org/10.1109/79.560324openalex-snapshot
Magnetic resonance imaging
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