Identification of Unknown Parameters for a Class of Two-Level Quantum Systems

Xue Z.; Lin H.; Lee T.H.

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Identification of Unknown Parameters for a Class of Two-Level Quantum Systems

机译：一类两级量子系统的未知参数的识别

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This technical note studies the identification of unknown decoherence rates for a class of two-level quantum systems undergoing spontaneous emission. Our previous work shows that estimates of the unknown decoherence rates can be obtained from the ensemble averages by imposing constant control and monitoring a sequence of identical systems continuously. Inspired by the work, this technical note further investigates the identification based on a single quantum system. It is shown that a mean-ergodic solution exists for a single system under constant control and convergence to an ergodic process can be guaranteed by introducing some noise into the control signals. The ensemble average can thus be replaced by the time average of a single system, and the parameter estimate can be obtained from a single implementation.

机译：该技术说明研究了识别自发发射的两能级量子系统的未知相干速率的问题。我们以前的工作表明，通过施加恒定控制并连续监视相同系统的序列，可以从整体平均值中获得未知的退相干率的估计值。受这项工作的启发，本技术说明进一步研究了基于单量子系统的鉴定。结果表明，在恒定控制下，单个系统存在均线遍历解，并且通过向控制信号中引入一些噪声，可以保证收敛到遍历过程。集成平均值因此可以由单个系统的时间平均值代替，并且参数估计可以从单个实现中获得。

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来源
《IEEE Transactions on Automatic Control》 |2013年第7期|1805-1810|共6页
作者
Xue Z.; Lin H.; Lee T.H.;
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作者单位

NUS Graduate School for Integrative Sciences and Engineering, National University of Singapore, Singapore|c|;

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原文格式 PDF
正文语种 eng
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关键词
Ergodicity; parameter estimation; quantum systems; single system;

机译：遍历;参数估计;量子系统;单系统;

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Identification of Unknown Parameters for a Class of Two-Level Quantum Systems

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