While noise is an unavoidable part of contemporary quantum computing, symmetries and properties in the studied system can often be used to gauge and combat errors. As such, it is of interest to study how the 1-RDM and derived properties thereof are affected by noise. And conversely, how enforcing known symmetries and properties of the 1-RDM mitigates the effect of noise. We have opted to study two important properties of the 1-RDM: its Hermiticity, 𝐷 13 = 𝐷 31 * , and that its trace equals the number of electrons of the studied molecular system , Tr(𝑫) = 𝑛 !" . Because the 1-RDM is Hermitian, we can, assuming real-valued entries, enforce the desired transpose (𝐷 13 = 𝐷 31 ) symmetry on the measured 1-RDMs by averaging the corresponding offdiagonal elements as