Continuous quantum error correction as classical hybrid control
Continuous quantum error correction as classical hybrid control
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DOI：
10.1088/1367-2630/11/10/105044
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发表时间：
2009-10-30
影响因子：
3.3
通讯作者：
Mabuchi, Hideo
中科院分区：
文献类型：
--
作者：
Mabuchi, Hideo
量子纠错（QEC）的标准公式包括在量子位寄存器的自由动态中的错误估计和校正干预的重复循环。QEC因此可以被看作是一种形式的反馈控制，它是感兴趣的，以寻求更深层次的理解相关理论之间的联系。在这里，我们提出了一个集中的案例研究，在这个广泛的计划，连续QEC与混合控制理论的元素连接。我们表明，规范的方法，后者的工程学科，如递归滤波和动态规划方法来解决最优控制问题，可以卓有成效地应用于分离的控制器结构的量子存储器的编码和连续的症状测量的基础上的设计。
The standard formulation of quantum error correction (QEC) comprises repeated cycles of error estimation and corrective intervention in the free dynamics of a qubit register. QEC can thus be seen as a form of feedback control, and it is of interest to seek a deeper understanding of the connection between the associated theories. Here we present a focused case study within this broad program, connecting continuous QEC with elements of hybrid control theory. We show that canonical methods of the latter engineering discipline, such as recursive filtering and dynamic programming approaches to solving the optimal control problem, can be applied fruitfully in the design of separated controller structures for quantum memories based on coding and continuous syndrome measurement.