  Using entanglement in dS/CFT correspondence, we show that a 4-dimensional de
Sitter spacetime in the bulk fluctuates. We calculated the fluctuations of the
entanglement entropy, which backreacts with the geometry of the bulk spacetime
indicated by the fluctuations of the horizon radius. The variance of the
fluctuations is suppressed by $G_N$ and multiplied by $H_{dS}^2$. Therefore, it
will be more significant during the primordial era where it is also well
described by de Sitter geometry. We also show that the distribution of the
fluctuations is also skewed with the local non-linearity parameter is in the
order of $f_{NL}\sim\mathcal{O}(1)$ and we present the probability density
function with corrections up to $\sigma_\Phi^3$.
