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Geodesics for efficient creation and propagation of order along Ising spin chains

Geodesics for efficient creation and propagation of order along Ising spin chains

Experiments in coherent nuclear and electron magnetic resonance, and optical spectroscopy correspond to control of quantum mechanical ensembles, guiding them from initial to final 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 …