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arXiv 2301.05910quant-ph
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量子非破坏测量的测量算子

Measurement operator for quantum nondemolition measurements

Ebubechukwu O. Ilo-Okeke, Ping Chen, Shuang Li, Bede C. Anusionwu, Valentin Ivannikov, Tim Byrnes

摘要:

我们推导了一个对应于原子系综量子非破坏(QND)测量的测量算符。量子测量算子采用正算子值测量(POVM)的形式,并且对于任意相互作用时间、初始相干态幅度和最终光子测量结果都是有效的。我们分析了各种参数的依赖关系,并表明,短的相互作用时间的QND测量的效果是应用高斯调制的初始状态波函数。我们推导出POVM在各种限制,如短的相互作用时间制度和投影测量限制的近似表达式。几个例子显示了如何自旋压缩和薛定谔猫态可以使用测量产生。

英文摘要:

We derive a measurement operator corresponding to a quantum nondemolition (QND) measurement of an atomic ensemble. The quantum measurement operator takes the form of a positive operator valued measure (POVM) and is valid for arbitrary interaction times, initial coherent state amplitudes, and final photon measurement outcomes. We analyze the dependence on various parameters and show that the effect of the QND measurement for short interaction times is to apply a Gaussian modulation of the initial state wavefunction. We derive approximate expressions for the POVM in various limits, such as the short interaction time regime and projective measurement limit. Several examples are shown which shows how spin squeezing and Schrodinger cat states can be generated using the measurement.

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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