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arXiv quant-ph/0401074quant-ph
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基于真实感光电探测的动态参数估计

Dynamical parameter estimation using realistic photodetection

P. Warszawski, Jay Gambetta, H. M. Wiseman

摘要:

通过对开放量子系统的连续监测,研究了实际探测器中的缺陷对量子态和参数估计问题的影响。具体地说,我们重新研究了由Gambetta和Wiseman [Phys.Rev.A64,042105(2001)]引入的具有未知拉比频率的二能级原子系统。我们只考虑直接光电探测,并使用Warszawski,Wiseman和Mabuchi [Phys. Rev. A 65,023802(2002)]报道的现实量子轨道理论。最显著的影响来自有限带宽,对应于光电二极管响应时间的不确定性。除非带宽明显大于拉比频率,否则观测者获取未知拉比频率和原子状态信息的能力将受到严重损害。这一结果对现实探测器存在未知参数时的量子控制有影响,甚至对理想探测器也有影响,因为它意味着测量记录中的大部分信息都包含在探测的精确定时中。

英文摘要:

We investigate the effect of imperfections in realistic detectors upon the problem of quantum state and parameter estimation by continuous monitoring of an open quantum system. Specifically, we have reexamined the system of a two-level atom with an unknown Rabi frequency introduced by Gambetta and Wiseman [Phys. Rev. A 64, 042105 (2001)]. We consider only direct photodetection and use the realistic quantum trajectory theory reported by Warszawski, Wiseman, and Mabuchi [Phys. Rev. A 65, 023802 (2002)]. The most significant effect comes from a finite bandwidth, corresponding to an uncertainty in the response time of the photodiode. Unless the bandwidth is significantly greater than the Rabi frequency, the observer's ability to obtain information about the unknown Rabi frequency, and about the state of the atom, is severely compromised. This result has implications for quantum control in the presence of unknown parameters for realistic detectors, and even for ideal detectors, as it implies that most of the information in the measurement record is contained in the precise timing of the detections.

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