Efficient synthesis of quantum gates on a three-spin system with triangle topology
Haidong Yuan, Navin Khaneja · Physical Review A · 2011
Experiments in coherent nuclear and electron magnetic resonance and optical spectroscopy correspond to control of quantum-mechanical ensembles, guiding them from initial states to target states by unitary transformations. The control inputs (pulse sequences) that accomplish these unitary transformations should take as little time as possible so as to minimize the effects of relaxation and decoherence, and to optimize the sensitivity of the experiments. Here, we give an efficient synthesis of a class of unitary transformations on a three coupled spin-$\frac{1}{2}$ system with equal Ising coupling strengths. We show a significant time saving compared with conventional methods.