MLMC-qDRIFT couples multilevel qDRIFT estimators to achieve O(ε^{-2} log²(1/ε)) gate complexity for observable estimation instead of the standard O(ε^{-3}).
Time-dependent hamiltonian simulation withl1-norm scaling.Quantum, 4:254
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Hybrid algorithm classically diagonalizes Hamiltonian tensor factors to construct block-encodings for quantum simulation via QSVD, with extensions for commuting time-dependent cases.
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MLMC-qDRIFT: Multilevel Variance Reduction for Randomized Quantum Hamiltonian Simulation
MLMC-qDRIFT couples multilevel qDRIFT estimators to achieve O(ε^{-2} log²(1/ε)) gate complexity for observable estimation instead of the standard O(ε^{-3}).
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Hybrid Quantum-Classical Algorithm for Hamiltonian Simulation
Hybrid algorithm classically diagonalizes Hamiltonian tensor factors to construct block-encodings for quantum simulation via QSVD, with extensions for commuting time-dependent cases.