Fig. 3.

The reduced idler density matrix in the Schmidt basis. $\left(A\right)$ The projected object. $\left(B\right)$ The “spot size” corresponding to the $H{G}_{00}$ mode. $\left(C\right)$ The idler’s reduced density matrix before the interaction with the object presented in Hermite–Gauss basis modes, given by Eq. 9. $\left(D\right)$ The change in the reduced density matrix of the idler due to the interaction with the object given by Eq. 10.