Heisenberg scaling in Gaussian quantum metrology
Heisenberg scaling in Gaussian quantum metrology
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DOI：
10.1103/physreva.92.022106
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发表时间：
2015-02
影响因子：
2.9
通讯作者：
N. Friis;M. Skotiniotis;I. Fuentes;W. Dur
中科院分区：
文献类型：
--
作者：
N. Friis;M. Skotiniotis;I. Fuentes;W. Dur
我们解决了精确估计在玻色子量子场模式的一般线性变换中编码的小参数的问题。这种波格留波夫变换经常出现在量子光学的背景下。我们提供了一套计算任意纯初始态的量子费雪信息的指令。我们证明了最大可实现的估计精度与平均粒子数的平方成反比，并且这种海森堡标度需要非经典但不一定是纠缠态。我们的方法进一步允许我们量化由于只能监测有限多个模式而产生的精度损失，我们确定了一个下界。
We address the issue of precisely estimating small parameters encoded in a general linear transformation of the modes of a bosonic quantum field. Such Bogoliubov transformations frequently appear in the context of quantum optics. We provide a set of instructions for computing the quantum Fisher information for arbitrary pure initial states. We show that the maximally achievable precision of estimation is inversely proportional to the squared average particle number and that such Heisenberg scaling requires nonclassical but not necessarily entangled states. Our method further allows us to quantify losses in precision arising from being able to monitor only finitely many modes, for which we identify a lower bound.