Continuous-time evolution via probabilistic angle interpolation and its applications
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911564665192448 |
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| author | Hayata, Tomoya Kikuchi, Yuta |
| author_facet | Hayata, Tomoya Kikuchi, Yuta |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02854 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Continuous-time evolution via probabilistic angle interpolation and its applications Hayata, Tomoya Kikuchi, Yuta Quantum Physics 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. |
| title | Continuous-time evolution via probabilistic angle interpolation and its applications |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2604.02854 |