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arXiv 1202.4065quant-ph
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连续量子测量中的量子极限

Quantum limit in continuous quantum measurement

ChengGang Shao

摘要:

利用非精确测量理论给出了一个关于量子噪声的不等式,并利用该不等式分析了连续量子测量中的量子极限。与基于噪声与探测器极化率之间量子关系的线性响应方法不同,本文给出了量子噪声与约化算符之间的显式函数关系,并得到了严格的结果:在量子测量中,探测器所加的最小噪声恰好等于零点噪声。这个结论推广了线性放大器的标准Haus-Caves量子极限。讨论了量子测量中反作用力的统计特性,并指出如何达到量子极限。

英文摘要:

An inequality about quantum noise is presented with the imprecise measurement theory, which is used to analyse the quantum limit in continuous quantum measurement. Different from the linear-response approach based on the quantum relation between noise and susceptibilities of the detector, we provide an explicit functional relation between quantum noise and reduction operator, and show a rigorous result: The minimum noise added by the detector in quantum measurement is precisely equal to the zero-point noise. This conclusion generalizes the standard Haus-Caves quantum limit for a linear amplifier. We also discuss the statistic characters of the back-action force in quantum measurement and show on how to reach the quantum limit.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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