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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Filter-assisted SQD uses a quantum filter to engineer sparser ground-state wavefunctions, yielding orders-of-magnitude lower energy errors and reduced sampling overhead versus standard SQD on the transverse-longitudinal Ising model.
SQD-AA reduces total query complexity by more than 100x on model distributions and achieves the lowest T-gate counts with 3-4 orders shallower circuits than iQPE for molecular examples.
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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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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Filter-assisted quantum subspace diagonalization via wavefunction sparsity engineering
Filter-assisted SQD uses a quantum filter to engineer sparser ground-state wavefunctions, yielding orders-of-magnitude lower energy errors and reduced sampling overhead versus standard SQD on the transverse-longitudinal Ising model.
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Sample-Based Quantum Diagonalization with Amplitude Amplification
SQD-AA reduces total query complexity by more than 100x on model distributions and achieves the lowest T-gate counts with 3-4 orders shallower circuits than iQPE for molecular examples.
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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.