Based on two-particle reduced density matrix (2-RDM) obtained under DMRG calculations, the interaction matrix elements, also known as mutual information, is calculated based on eq. 6, where S p represents von Neumann entropy of the subsystem with particle p excluded and δ pq represents Kronecker delta, which is used to ensure no interaction between two identical particles. The coefficient 1/2 is multiplied to excluded repeated calculation of interactions. The von Neumann entropy is calculated as eq. 7, where ρ p stands for the one-particle reduced density matrix (1-RDM). Notations S pq and ρ pq share the similar meanings. Based on 2-RDM, 1-RDM is then reproduced based on eq. 8, where ⟨𝑝𝑞|𝑟𝑠⟩ represents the elements of the 2-RDM tensor, 𝒂 𝑟 + and 𝒂 𝑠 are creation and annihilation operators for orbitals r and s, respectively, and 𝝆 𝑝 𝑞 represents the elements of the resulting 1-RDM tensor. Furthermore, another important conclusion related to the existence of dual anti-aromaticity in C16 molecule recently reported can also be drawn from mutual information. Although each pair of orbital behaves similarly, two orbitals within a couple of bonding and anti-bonding orbitals behave differently indeed. As is revealed by the length of arc, anti-bonding orbitals with indices (2n+1) ~ 4n are significantly shorter compared with bonding orbitals. This phenomenon exists in all molecules investigated in this work and is believed to be true for all cyclo-[2n]-carbon systems. Considering a pair of bonding and anti-bonding orbitals (Figure ), we may discover that the distributions are exactly staggered on two neighboring bonds. Since the major character of electron correlation that controls the electronic structure of cyclo-[2n]-carbon differs in bonding and anti-bonding orbitals, it finally results in different properties being observed on two neighboring bonds, including alternating bond lengths, bond orders, and a series of measurable or unmeasurable, real or conceptual values, which have also been demonstrated in abundant theoretical investigation into C18. We noticed that some references attributed the existence of dual aromaticity in cyclo-[2n]-carbon with even n to decreased symmetry. This is inappropriate since in bond-averaging structure of C12 and C16, energy level splitting remains exist, as is listed in Table . Also, bond length alternating is also observed in dual-aromatic C18, therefore, being unlikely to play a determining role in deciding the electronic ground state. Therefore, based on difference observed in mutual information and spatial distribution of bonding and anti-bonding orbital pairs, we would like to conceptualize this phenomenon as electron correlation stabilized dual anti-aromaticity.