Quantum Optimally Controlled Transition Landscapes
Quantum Optimally Controlled Transition Landscapes
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DOI：
10.1126/science.1093649
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发表时间：
2004-03
期刊：
影响因子：
56.9
通讯作者：
H. Rabitz;Michael M. Hsieh;C. Rosenthal
中科院分区：
文献类型：
--
作者：
H. Rabitz;Michael M. Hsieh;C. Rosenthal
大量的实验研究和模拟表明，在广泛的量子系统中找到出色的质量控制是非常容易的。我们现在证明，对于对控制没有限制的可控量子系统，唯一允许的跃迁概率图的极值对应于完美控制或无控制。在这些条件下，不存在作为陷阱的次优局部极值，从而阻碍对最优控制的搜索。当寻求最大化相同的跃迁概率时，所识别的景观结构对于相同维度的所有可控量子系统是通用的，无论系统哈密顿量的详细性质如何。弱控制场噪声或环境退相干的存在被证明可以保留控制景观的总体结构，但分辨率较低。
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.