arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1807.09362quant-ph
收藏

相对论计量学上下限最优估计的弱测量效应

Weak measurement effect on optimal estimation with lower and upper bound on relativistic metrology

H. Rangani Jahromi

备注：
Accepted for publication in Int. J. Mod. Phys. D
发表信息：
Int. J. Mod. Phys. D, 2019
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们解决的量子估计的参数编码成初始状态的两个模式的狄拉克场所描述的相对加速的缔约方。利用量子费舍尔信息（QFI），研究了加速观测器前后的弱观测对初始状态权值和相位参数的最优估计的影响.研究QFI，与权重参数$ \vartheta $，我们发现，在最佳估计发生的加速度可以控制由弱测量。此外，它表明，后测量起到量子密钥的作用，表现出的Unruh效应。另一方面，调查的相位估计优化，并假设有没有控制的初始状态，我们表明，弱测量可以利用匹配的最佳$ \vartheta $，其预定值。此外，除了与本地量子不确定性的QFI上的下限的确定，我们揭示了一个重要的上限的相位估计的精度在我们的相对论性的情况下，由最大引导相干（MSC）。我们还得到了一般X态的MSC的一个紧凑的表达式。

英文摘要：

We address the quantum estimation of parameters encoded into the initial state of two modes of a Dirac field described by relatively accelerated parties. By using the quantum Fisher information (QFI), we investigate how the weak measurements performed before and after the accelerating observer, affect the optimal estimation of information encoded into the weight and phase parameters of the initial state shared between the parties. Studying the QFI, associated with weight parameter $ \vartheta $, we find that the acceleration at which the optimal estimation occurs may be controlled by weak measurements. Moreover, it is shown that the post-measurement plays the role of a quantum key for manifestation of the Unruh effect. On the other hand, investigating the phase estimation optimization and assuming that there is no control over the initial state, we show that the weak measurements may be utilized to match the optimal $ \vartheta $ to its predetermined value. Moreover, in addition to determination of a lower bound on the QFI with the local quantum uncertainty, we unveil an important upper bound on the precision of phase estimation in our relativistic scenario, given by the maximal steered coherence (MSC). We also obtain a compact expression of the MSC for general X states.

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。

↑