# Two-electron wavefunctions are matrix product states with bond dimension Three

@inproceedings{Friesecke2021TwoelectronWA, title={Two-electron wavefunctions are matrix product states with bond dimension Three}, author={G. Friesecke and Benedikt R. Graswald}, year={2021} }

We prove the statement in the title, for a suitable (wavefunction-dependent) choice of the underlying orbitals, and show that Three is optimal. Thus for two-electron systems, the QC-DMRG method with bond dimension Three combined with fermionic mode optimization exactly recovers the FCI energy.

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