无限维中的量子控制
Quantum control in infinite dimensions
摘要：
量子演化的精确控制是量子态工程、激光化学、量子信息和量子计算的基本要求。具有有限个能级的系统的能控性条件已被广泛研究。相比之下，无限维可控性的结果大多是负面的，说明完全控制不能用有限维控制李代数实现。在这里，我们表明，通过添加一个离散操作的李代数，它是可能的，以获得完全控制在无限维与少量的控制算子。
英文摘要：
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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