Continuous quantum error correction as classical hybrid control

被引:28
作者
Mabuchi, Hideo [1 ]
机构
[1] Stanford Univ, Edward L Ginzton Lab, Stanford, CA 94305 USA
关键词
STABILITY; CAVITY;
D O I
10.1088/1367-2630/11/10/105044
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
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页数:15
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