| 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.[点击复制] |
| WU Zheng-tian,GAO Qing,ZHANG Guo-feng.Quantum projection filtering[J].Control Theory and Technology,2017,34(11):1494~1499.[点击复制] |
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| 量子投影滤波 |
| Quantum projection filtering |
| 摘要点击 2016 全文点击 1830 投稿时间：2017-10-02 修订日期：2017-12-14 |
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| DOI编号 10.7641/CTA.2017.70717 |
| 2017,34(11):1494-1499 |
| 中文关键词 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 |
| 英文关键词 quantum filter differentiable manifold open quantum systems exponential quantum projection filter state estimation |
| 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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| 中文摘要 |
| 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. |
| 英文摘要 |
| A quantum filter extracts the optimal estimate of quantum system states from the past history of weak continuous
measurements on a quantum system by using the quantum Bayesian theory. However, the online computation burden
of a quantum filter increases quadratically along with the increase of the quantum system dimension. We propose a quantum
projection filtering method, aiming to reduce the online computation burden of the quantum filter. By using a differential
geometric approach, the trajectory of the resulting quantum filter is constrained to be evolving within a finite-dimensional
differentiable submanifold. In other words, the quantum state can be calculated through online calculation of the coordinate
system of this submanifold. Simulation results from a two-level quantum system demonstrate the effectiveness of the
proposed method. |
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