论文标题
量子信息的宇宙学
Cosmology from Quantum Information
论文作者
论文摘要
我们用时间依赖的量子密度矩阵来描述通货膨胀，随机变量的作用。使用准DE保姆模型，我们计算相应的量子Fisher信息作为在两个不同时间的密度矩阵的相对纠缠熵的第二个导数。采用标准量子估计理论，我们评估了量子标量波动的最小差异，该量子标量波动在缓慢的滚动限制中重现了功率谱和相应的倾斜度。与此类Fisher信息相关联的Jeffreys的先验可用于定义慢速参数$ε$和初始Shannon信息定义的初始条件集的概率。
We describe inflation in terms of a time dependent quantum density matrix with time playing the role of a stochastic variable. Using a quasi-de Sitter model we compute the corresponding quantum Fisher information function as the second derivative of the relative entanglement entropy for the density matrix at two different times. Employing standard quantum estimation theory we evaluate the minimal variance of quantum scalar fluctuations that reproduces the power spectrum and the corresponding tilt in the slow roll limit. The Jeffreys prior associated with such Fisher information can be used to define the probabilities on the set of initial conditions defined by the slow roll parameter $ε$ and the initial Shannon information.
