This study presents nonlinear differential equations capable to generate continuous functions similar to pulse sequences. First are studied some basic properties of second-order differential equations with time-dependent coefficients generating bounded oscillating functions F similar to test-functions the function F and its derivative F ′ being equal to zero at the same time moments . The neces...

We introduce a binary, relaxed gradient, trust-region method for optimizing pulse sequences single flux quanta control of quantum computer. The are optimized with the goal realizing unitary gate transformations. Each has fixed amplitude and duration. model this process as binary optimal problem, constrained by Schrödinger’s equation, where variables indicate whether each is on or off. first-ord...

NMR metabolomics are primarily conducted with 1D nuclear Overhauser enhancement spectroscopy (NOESY) presat for water suppression and Carr-Purcell-Meiboom-Gill (CPMG) presat as a T2 filter to remove macromolecule signals. Others pulse sequences exist for these two objectives but are not often used in metabolomics studies, because they are less robust or unknown to the NMR metabolomics community...

A simple technique for the synthesis of optical pulse sequences is described, where the input laser spectrum is viewed as a superposition of independent but interlaced combs assigned to different sub-pulses. The devised concept enables intuitive programming of complex multi-pulse waveforms via one-dimensional phase-only shaping. Using this approach, we perform self-referenced cross-correlation ...