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Quantum Simulation Quantum Chemistry

Continuous-time evolution via probabilistic angle interpolation and its applications

arXiv
Authors: Tomoya Hayata, Yuta Kikuchi

Year

2026

Paper ID

45146

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

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 H3^+ 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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We explore the applicability of a stochastic time-evolution algorithm based on probabilistic angle interpolation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2604.02854 [2] arXiv https://arxiv.org/abs/2604.02854 [3] Publisher https://arxiv.org/abs/2604.02854

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