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Finding control laws (pulse sequences) that can compensate for dispersions in parameters which govern the evolution of a quantum system is an important problem in the fields of coherent spectroscopy, imaging, and quantum information processing. The use of composite pulse techniques for such tasks has a long and widely known history. In this paper, we give several new control law design methods for...
Nuclear magnetic resonance (NMR) spectroscopy has proven to be a facile means of achieving small-scale demonstrations of quantum information processing. This was in large part made possible by the sophisticated methods of quantum control that have been developed by the NMR community over a span of more than 50 years. The traditional control methods, already perhaps the most complex examples of open-loop...
Finding control fields (pulse sequences) that can compensate for the dispersion in the parameters governing the evolution of a quantum system is an important problem in coherent spectroscopy and quantum information processing. The use of composite pulses for compensating dispersions in system dynamics is widely known and applied. In this paper, we make explicit the key aspects of the dynamics that...
In this article, we study the problem of time optimal manipulation of dynamics of coupled spins in NMR (nuclear magnetic resonance) spectroscopy and quantum information processing. In particular, we analyze the system of three linearly coupled spins with unequal couplings. We give time optimal control laws for steering the state of the spins between points that are of significance in coherent spectroscopy
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