# Low-rank decomposition for quantum simulations with complex basis functions

@inproceedings{Kaicher2021LowrankDF, title={Low-rank decomposition for quantum simulations with complex basis functions}, author={Michael P. Kaicher}, year={2021} }

Low-rank decompositions to reduce the Coulomb operator to a pairwise form suitable for its quantum simulation are well-known in quantum chemistry, where the underlying basis functions are real-valued. We generalize the result of Ref. 1 to complex basis functions ψp(r) ∈ C by means of the Schur decomposition and decomposing matrices into their symmetric and anti-symmetric components. This allows the application of low-rank decomposition strategies to general basis sets.

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