analiza aiqbench
This paper presents a refinement of a stochastic quantum time-evolution method, moving to the continuous-time limit to remove Trotter discretization error and simplify resource estimates. Its demonstrations, ground-state energy of H₃⁺ and out-of-time-ordered correlators in the sparse SYK model, run on a real trapped-ion device, which is a useful check on near-term feasibility. Readers should weigh the reported gains against the noise-mitigation and sampling overheads, since those, rather than Trotter error, will likely determine practical advantage.
Continuous-time evolution via probabilistic angle interpolation and its applications
arXiv:2604.02854v2 Announce Type: replace 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.
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.
arXiv:2604.02854 [quant-ph]
(or arXiv:2604.02854v2 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2604.02854 Focus to learn more arXiv-issued DOI via DataCite
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
Text integral sub licența deschisă a publicației · 179 cuvinte