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.
Gidney, Quantum2, 74 (2018)
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A quantum algorithm for rovibrational Hamiltonian simulation on fault-tolerant quantum computers using hybrid DVR and Walsh-Hadamard QROM, claiming exponential resource savings over prior quantum and classical methods.
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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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Simulating high-accuracy nuclear motion Hamiltonians using discrete variable representation and Walsh-Hadamard QROM on fault-tolerant quantum computers
A quantum algorithm for rovibrational Hamiltonian simulation on fault-tolerant quantum computers using hybrid DVR and Walsh-Hadamard QROM, claiming exponential resource savings over prior quantum and classical methods.