PTER removes Trotter errors in quantum Hamiltonian simulation via quasi-probabilistic reversal of the error dynamics, producing unbiased results with constant overhead.
Continuous-time evolution via probabilistic angle interpolation and its applications
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abstract
We explore the applicability of a stochastic time-evolution algorithm based on probabilistic angle interpolation. To simplify the pre-processing of the algorithm, we take the continuous-time limit, thereby explicitly eliminating Trotter errors and streamlining the resource analysis. We also introduce a noise-mitigation method tailored to it. As demonstrations, we apply the algorithm to two representative problems: estimating the ground-state energy of the $H_3^+$ molecular Hamiltonian and computing out-of-time-ordered correlators in the sparse Sachdev--Ye--Kitaev model. We evaluate the protocol's performance through numerical simulations and experiments on a trapped-ion quantum computer, Quantinuum Reimei.
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quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Unbiased Hamiltonian Simulation by Reversing Trotter Error Dynamics
PTER removes Trotter errors in quantum Hamiltonian simulation via quasi-probabilistic reversal of the error dynamics, producing unbiased results with constant overhead.