Unitary Control in Quantum Ensembles: Maximizing Signal Intensity in Coherent Spectroscopy
- 17 April 1998
- journal article
- other
- Published by American Association for the Advancement of Science (AAAS) in Science
- Vol. 280 (5362) , 421-424
- https://doi.org/10.1126/science.280.5362.421
Abstract
Experiments in coherent magnetic resonance, microwave, and optical spectroscopy control quantum-mechanical ensembles by guiding them from initial states toward target states by unitary transformation. Often, the coherences detected as signals are represented by a non-Hermitian operator. Hence, spectroscopic experiments, such as those used in nuclear magnetic resonance, correspond to unitary transformations between operators that in general are not Hermitian. A gradient-based systematic procedure for optimizing these transformations is described that finds the largest projection of a transformed initial operator onto the target operator and, thus, the maximum spectroscopic signal. This method can also be used in applied mathematics and control theory.Keywords
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