To evaluate the viability of the electron density's topological properties as a form of fidelity witness, we perform quantum chemistry calculations on both quantum and conventional computers. The quantum calculations rely on hardwareefficient ansätze and minimal or small basis sets to expand the molecular wavefunction (see the Methods section). We use high-quality electron densities from conventional coupled cluster calculations at the CCSD/aug-cc-pVTZ level of theory as reference data. We note that reference densities can, in principle (up to a feasible limit), be obtained in many ways, including other costly ab initio methods, more affordable DFT functionals, diffraction data, or even wavefunction-fitting experiments. 55 Central to our work are analyses of the significant contribution of noise on the quality of electron densities obtained with current quantum calculations. To that end, we not only compare with noiseless quantum simulations and near-exact conventional calculations, but we also implement and evaluate the efficacy of the above-described mitigation strategy for topological properties. To make our test set feasible on available quantum hardware, we rely on small basis sets (STO-3G for H2, LiH and Li2, and 6-31G for HCN). A frozen (1s) core approximation is used for atoms heavier than H, together with relatively small active spaces: H2 (2,2), LiH (2,3), Li2 (2,4), and HCN (4,4). The canonical molecular orbitals used to define these active spaces are provided in the SI (Figures ). Two kinds of encodings are used to map the fermionic spin orbitals to qubits: parity encoding with two-qubit reduction for H2 and LiH, and Jordan-Wigner encoding for Li2 and HCN. While quantum results from H2 and LiH are obtained from real quantum hardware, results for Li2 and HCN are from simulations of quantum hardware that include a noise model. Further computational details are available in the Methods section and the SI.