Quantum optimally controlled transition landscapes
Quantum optimally controlled transition landscapes
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DOI：
10.1126/science.1093384
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发表时间：
2004-03-26
期刊：
影响因子：
56.9
通讯作者：
Rosenthal, CM
中科院分区：
文献类型：
--
作者：
Rabitz, HA;Hsieh, MM;Rosenthal, CM
大量的实验研究和模拟表明，在广泛的量子系统中找到优秀的质量控制是非常容易的。我们现在证明，对于可控的量子系统，没有限制的控制，唯一允许的极值的转移概率景观对应于完美的控制或没有控制。在这些条件下，没有次优的局部极值存在的陷阱，将阻碍搜索的最优控制。所确定的景观结构是通用的所有可控的量子系统的相同尺寸时，寻求最大化相同的跃迁概率，无论系统的哈密顿量的详细性质。弱控制场噪声或环境退相干的存在下，以保持控制景观的一般结构，但在较低的分辨率。
A large number of experimental studies and simulations show that it is surprisingly easy to find excellent quality control over broad classes of quantum systems. We now prove that for controllable quantum systems with no constraints placed on the controls, the only allowed extrema of the transition probability landscape correspond to perfect control or no control. Under these conditions, no suboptimal local extrema exist as traps that would impede the search for an optimal control. The identified landscape structure is universal for all controllable quantum systems of the same dimension when seeking to maximize the same transition probability, regardless of the detailed nature of the system Hamiltonian. The presence of weak control field noise or environmental decoherence is shown to preserve the general structure of the control landscape, but at lower resolution.