Abstract: Understanding and simulating strongly correlated electronic systems remain central challenges in quantum chemistry and condensed matter physics. We present Error-Mitigated Transcorrelated DMRG (EMTC-DMRG), a real-space formulation of a TC-DMRG variant designed to efficiently compact the fermionic many-body wavefunction for strongly correlated electronic systems. Unlike existing momentum-space or molecular-orbital-based transcorrelated approaches, our method operates directly in real space, making it naturally suited for both periodic and non-periodic systems. This framework enables a compact and accurate description of electron correlation by integrating three key components: i) an analytical transcorrelated Fermi-Hubbard Hamiltonian, which is non-Hermitian yet iso-spectral; ii) a time-independent DMRG algorithm; iii) an exact symbolic Matrix Product Operator (MPO) constructed using bipartite graphs. This strategy provides an algorithmic construction that significantly reduces numerical errors. Numerical experiments on two-dimensional Fermi-Hubbard lattices demonstrate that our approach drastically lowers the bond dimension required for accurate ground-state energies compared to previous TC-DMRG methods. This work is part of the broader It from Qubit and Bootstrap for Quantum Chemistry initiative, which combines classical tensor network methods, transcorrelation techniques, and quantum bootstrap ideas to develop both classical and quantum algorithms for tackling strongly correlated systems.
