qSHIFT achieves L-independent gate complexity and O(t^{1+r}) error scaling in quantum simulation through adaptive sampling distributions updated by solving L^r classical linear equations per round.
We consider a Hamiltonian, H= LX i=1 hiHi,(∀ ihi >0), and a physical observableQthat we want to simulate with respect to an initial state|ψ⟩
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qSHIFT: An Adaptive Sampling Protocol for Higher-Order Quantum Simulation
qSHIFT achieves L-independent gate complexity and O(t^{1+r}) error scaling in quantum simulation through adaptive sampling distributions updated by solving L^r classical linear equations per round.