AS-SQD applies an active sampling strategy with Epstein-Nesbet perturbation scores to iteratively expand the basis in sample-based quantum diagonalization, achieving lower energy errors than standard or random methods on spin chains and IBM hardware.
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A QSCI variant using stochastic quantum time evolution selects compact configuration subspaces for SiH4 energies, achieving over 200x reduction versus conventional SCI at large separations while matching Heatbath CI compactness.
SQD needs an exponentially increasing number of computational-basis configurations to approximate ground-state energies of Heisenberg and Hubbard models within fixed accuracy, even when configurations are chosen optimally by probability.
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Active Sampling Sample-based Quantum Diagonalization from Finite-Shot Measurements
AS-SQD applies an active sampling strategy with Epstein-Nesbet perturbation scores to iteratively expand the basis in sample-based quantum diagonalization, achieving lower energy errors than standard or random methods on spin chains and IBM hardware.
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Towards Compact Wavefunctions from Quantum-Selected Configuration Interaction
A QSCI variant using stochastic quantum time evolution selects compact configuration subspaces for SiH4 energies, achieving over 200x reduction versus conventional SCI at large separations while matching Heatbath CI compactness.
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A Critical Assessment of the Sample-Based Quantum Diagonalization for Heisenberg and Hubbard Models
SQD needs an exponentially increasing number of computational-basis configurations to approximate ground-state energies of Heisenberg and Hubbard models within fixed accuracy, even when configurations are chosen optimally by probability.