A propagation toolkit to design quantum controls
A propagation toolkit to design quantum controls
复制标题
用于设计量子控制的传播工具包
DOI：
10.1063/1.1564815
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发表时间：
2003
影响因子：
4.4
通讯作者：
H. Rabitz
中科院分区：
文献类型：
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作者：
F. L. Yip;D. Mazziotti;H. Rabitz
时间传播算子工具包可根据需要存储和调用，并被纳入用于量子系统最优控制的算法中。通常，控制域 e(t) 在全时间演化过程中多次重新访问相同的值。这种重复可用于通过方便的传播器工具包来提高效率，其中仅在动态范围 emin⩽e(t)⩽emax 内的少量离散电场值处计算和存储传播器。在受控进化的每个时间步骤，根据局部控制字段值的指示选择预先计算的工具包的特定成员。对于以 N 状态的基本集合描述的量子系统，该工具包可以通过因子缩放 ∼N 来降低控制场设计的成本。对于尺寸高达 N=30 的系统，演示了使用该工具包的最佳控制。
A toolkit of time-propagation operators, to be stored and recalled as needed, is incorporated into the algorithms for the optimal control of quantum systems. Typically, the control field e(t) revisits the same values many times during the full time evolution. This repetition may be utilized to enhance efficiency through a convenient toolkit of propagators where the propagators are computed and stored only at a small number of discrete electric-field values in the dynamic range emin⩽e(t)⩽emax. At each time step of the controlled evolution a specific member of the pre-calculated toolkit is selected as dictated by the local control field value. The toolkit can reduce the cost of control field design by a factor scaling as ∼N for quantum systems described in a basis set of N states. Optimal control with the toolkit is demonstrated for systems up to dimension N=30.
K.Sakoda：“光子晶体的光学特性”施普林格出版社。
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