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Quantum control in infinite dimensions

Witold Karwowski·R. Vilela Mendes
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Abstract

Accurate control of quantum evolution is an essential requirement for quantum state engineering, laser chemistry, quantum information and quantum computing. Conditions of controllability for systems with a finite number of energy levels have been extensively studied. By contrast, results for controllability in infinite dimensions have been mostly negative, stating that full control cannot be achieved with a finite dimensional control Lie algebra. Here we show that by adding a discrete operation to a Lie algebra it is possible to obtain full control in infinite dimensions with a small number of control operators.

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Witold Karwowski, R. Vilela Mendes. 2003-11-06. Quantum control in infinite dimensions. https://doi.org/10.1016/j.physleta.2004.01.031

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