A smoothing monotonic convergent optimal control algorithm for NMR pulse sequence design

Abstract

The past decade has demonstrated increasing interests in using optimal control based methods within coherent quantum controllable systems. The versatility of such methods has been demonstrated with particular elegance within nuclear magnetic resonance (NMR) where natural separation between coherent and dissipative spin dynamics processes has enabled coherent quantum control over long periods of time to shape the experiment to almost ideal adoption to the spin system and external manipulations. This has led to new design principles as well as powerful new experimental methods within magnetic resonance imaging, liquid-state and solid-state NMR spectroscopy. For this development to continue and expand, it is crucially important to constantly improve the underlying numerical algorithms to provide numerical solutions which are optimally compatible with implementation on current instrumentation and at same time are numerically stable and offer fast monotonic convergence towards the target. Addressing such aims, we here present a smoothing monotonically convergent algorithm for pulse sequence design in magnetic resonance which with improved optimization stability lead to smooth pulse sequence easier to implement experimentally and potentially understand within the analytical framework of modern NMR spectroscopy.

References in corpus (5)

• Universal Control of Nuclear Spins Via Anisotropic Hyperfine Interactions
• Quantum optimal control theory and dynamic coupling in the spin-boson model
• Monotonically convergent optimal control theory of quantum systems with spectral constraints on the control field
• Switched Control of Electron Nuclear Spin Systems
• A smoothing monotonic convergent optimal control algorithm for NMR pulse sequence design

Cited by in corpus (10)

• A smoothing monotonic convergent optimal control algorithm for NMR pulse sequence design
• Krotov Method for Optimal Control in Closed Quantum Systems
• Quantum control with noisy fields: computational complexity vs. sensitivity to noise
• Genetic algorithms and solid state NMR pulse sequences
• Optimal control of an inhomogeneous spin ensemble coupled to a cavity
• Noise and Controllability: suppression of controllability in large quantum systems
• A connection between optimal control theory and adiabatic passage techniques in quantum systems
• Quantum Computing Gates via Optimal Control
• Minimum-Time Frictionless Atom Cooling in Harmonic Traps
• Minimum-Time Quantum Transport with Bounded Trap Velocity