| 引用本文: | 杨阳,齐波,崔巍.量子态估计简介及其在超导电路电动力学系统中的应用[J].控制理论与应用,2017,34(11):1446~1459.[点击复制] |
| YANG Yang,QI Bo,CUI Wei.A brief overview of quantum state estimation and its application in circuit quantum electrodynamics[J].Control Theory and Technology,2017,34(11):1446~1459.[点击复制] |
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| 量子态估计简介及其在超导电路电动力学系统中的应用 |
| A brief overview of quantum state estimation and its application in circuit quantum electrodynamics |
| 摘要点击 2473 全文点击 1601 投稿时间：2017-08-21 修订日期：2017-10-30 |
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| DOI编号 10.7641/CTA.2017.70592 |
| 2017,34(11):1446-1459 |
| 中文关键词 量子态估计 量子层析 极大似然法 压缩感知 线性回归估计 贝叶斯估计 量子滤波 |
| 英文关键词 quantum state estimation quantum state tomography maximum likelihood compressive sensing linear regression estimation bayesian estimates quantum filter |
| 基金项目 国家自然科学基金项目(11404113, 61227902, 61621003), 广州市脑机接口及应用重点实验室(201509010006) |
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| 中文摘要 |
| 量子态估计是量子计算以及量子调控的基础, 一般分为量子态层析, 即对未知量子态(或过程的初态)进行
估计, 以及量子滤波, 即对量子态进行实时的估计. 本文首先介绍了近年来量子态层析技术新的进展, 内容包括极大
似然方法, 压缩感知方法和线性回归方法, 并分析了它们的适用范围及各自的优缺点. 进一步, 基于量子计算的成
熟载体超导电路电动力学系统, 介绍了基于连续弱测量对量子态进行实时估计的贝叶斯方法, 并分析了贝叶斯估计
的适用情形. 进一步, 通过仿真实现了量子贝叶斯估计, 可以很容易发现贝叶斯方法能够精确地实时追踪量子态的
演化. |
| 英文摘要 |
| Quantum state estimation is of great importance in quantum computation and control. In general, quantum
state estimation includes quantum state tomography that reconstructs the unknown quantum states (or the initial states of
certain process) and quantum filter that real-time estimate the quantum states. Firstly, we introduce some recent progress
of quantum state tomography including maximum-likelihood estimation, compressive sensing method and the linear regression
estimation. We review their advantage and disadvantage and give their respective application range. Secondly, by
focusing on the circuit quantum electrodynamics (circuit QED), we review the quantum Bayesian estimation method for
real-time estimation of the quantum state, i.e., quantum filter, under the continuous weak quantum measurement. Moreover,
we have implemented the quantum Bayesian estimation method by simulation, from which it is easy to find that the
Bayesian estimation method can real-time precisely track the evolution of the quantum state. |
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