| 量子投影滤波 |
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| 引用本文： | 吴征天,高庆,张国峰. 量子投影滤波[J]. 控制理论与应用, 2017, 34(11): 1494-1499 |
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| 作者姓名： | 吴征天 高庆 张国峰 |
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| 作者单位： | 苏州科技大学电子与信息工程学院,德国杜伊斯堡埃森大学,香港理工大学 |
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| 基金项目： | 德国洪堡基金, 江苏省住房与城乡建设厅项目(2017ZD253) |
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| 摘 要： | 量子滤波器基于贝叶斯原理,利用连续弱测量数据给出当前时刻量子系统状态的最优估计,是量子计算和量子调控技术中极为重要的一环.然而,随着量子系统能级数提高,量子滤波器的实时计算复杂度呈二次型增长.本文介绍了一种量子投影滤波方法,用于减少量子滤波器的实时计算复杂度.基于量子信息几何方法,量子轨迹被限制在了一个由一类非归一化量子密度矩阵组成的子流形中.量子态从而可通过计算子流形的坐标系统来近似获得.仿真实验说明了投影滤波方法的有效性.
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| 关 键 词： | 量子滤波器 微分流形 开放量子系统 指数型量子投影滤波器 状态估计 |
| 收稿时间： | 2017-10-02 |
| 修稿时间： | 2017-12-14 |
Quantum projection filtering |
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| WU Zheng-tian,GAO Qing and ZHANG Guo-feng. Quantum projection filtering[J]. Control Theory & Applications, 2017, 34(11): 1494-1499 |
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| Authors: | WU Zheng-tian GAO Qing ZHANG Guo-feng |
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| Affiliation: | School of Electronic and Information Engineering, Suzhou University of Science and Technology,University of Duisburg-Essen,The Hong Kong Polytechnic University |
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| Abstract: | A quantum filter extracts the optimal estimate of quantum system states from the past history of weak continuousmeasurements on a quantum system by using the quantum Bayesian theory. However, the online computation burdenof a quantum filter increases quadratically along with the increase of the quantum system dimension. We propose a quantumprojection filtering method, aiming to reduce the online computation burden of the quantum filter. By using a differentialgeometric approach, the trajectory of the resulting quantum filter is constrained to be evolving within a finite-dimensionaldifferentiable submanifold. In other words, the quantum state can be calculated through online calculation of the coordinatesystem of this submanifold. Simulation results from a two-level quantum system demonstrate the effectiveness of theproposed method. |
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| Keywords: | quantum filter differentiable manifold open quantum systems exponential quantum projection filter state estimation |
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