Optimal Quantum Estimation for Gravitation
Optimal Quantum Estimation for Gravitation
复制标题
引力的最佳量子估计
DOI：
--
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
C. Caves
中科院分区：
文献类型：
--
作者：
T. G. Downes;G. Milburn;C. Caves
这里我们描述经典引力场测量的量子极限。具体来说，我们写下最佳量子克拉美-拉奥下限，任何单一的参数描述的时空度量。标准的时间-能量和海森堡不确定性关系被证明是时空度规的不确定性关系的特殊情况。给出了四个关键的例子，描述量子有限估计：加速度，黑洞，引力波和宇宙学。我们采用局部协变公式的量子场论在弯曲的时空，它允许一个明显的时空独立的推导。其结果是一个适用于所有因果时空流形的不确定关系。
Here we describe the quantum limit to measurement of the classical gravitational field. Specifically, we write down the optimal quantum Cramer-Rao lower bound, for any single parameter describing a metric for spacetime. The standard time-energy and Heisenberg uncertainty relations are shown to be special cases of the uncertainty relation for the spacetime metric. Four key examples are given, describing quantum limited estimation for: acceleration, black holes, gravitational waves and cosmology. We employ the locally covariant formulation of quantum field theory in curved spacetime, which allows for a manifestly spacetime independent derivation. The result is an uncertainty relation applicable to all causal spacetime manifolds.