Quantum control in infinite dimensions
量子物理
2009-11-10 v1 数学物理
math.MP
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.
引用
@article{arxiv.quant-ph/0311034,
title = {Quantum control in infinite dimensions},
author = {Witold Karwowski and R. Vilela Mendes},
journal= {arXiv preprint arXiv:quant-ph/0311034},
year = {2009}
}
备注
6 pages Latex