Quantum control in infinite dimensions

Details Quantum control in infinite dimensions Quantum control in infinite dimensions

2003-11-06

arxiv.org/abs/quant-ph/0311034v1

Physics Letters A 322 (2004) 282-285

Physics

Quantum Physics

6 pages Latex

Scientific paper

10.1016/j.physleta.2004.01.031

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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