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Beyond CCSD(T) Accuracy at Lower Scaling with Auxiliary Field Quantum Monte Carlo

Ankit Mahajan, James H. Thorpe, Jo S. Kurian, David R. Reichman, Devin A. Matthews, Sandeep Sharma

2025Journal of Chemical Theory and Computation11 citationsDOIOpen Access PDF

Abstract

We introduce a black-box auxiliary field quantum Monte Carlo (AFQMC) approach to perform highly accurate electronic structure calculations using configuration interaction singles and doubles (CISD) trial states. This method consistently provides more accurate energy estimates than coupled cluster singles and doubles with perturbative triples (CCSD(T)), often regarded as the gold standard in quantum chemistry. This level of precision is achieved at a lower asymptotic computational cost, scaling as O ( N 6 ) compared to the O ( N 7 ) scaling of CCSD(T). We provide numerical evidence supporting these findings through results for challenging main group and transition metal-containing molecules.

Topics & Concepts

ScalingCoupled clusterQuantum Monte CarloMonte Carlo methodStatistical physicsAuxiliary fieldField (mathematics)QuantumPhysicsElectronic structureQuantum mechanicsMoleculeMathematicsStatisticsGeometryPure mathematicsAdvanced Chemical Physics StudiesCatalytic Processes in Materials ScienceCatalysis and Oxidation Reactions