Quantum anomaly for benchmarking quantum computing
Tomoya Hayata Arata Yamamoto
作者信息
Abstract
Given the rapid advances in quantum computing hardware, establishing strategies for verifying the correctness of quantum computations has become increasingly important. Exploiting the fact that the axial anomaly in gauge theories is exact to all orders in perturbation theory, we propose the axial anomaly as a nontrivial benchmark for quantum simulations of lattice gauge theories. We simulate axial charge production in ${\mathbb Z}_N$ lattice gauge theories on the trapped-ion quantum computer ``Reimei''. After taking the U(1), infinitesimal time, and infinite volume limits, we successfully reproduce the anomaly coefficient within statistical uncertainties, even without error mitigation. Our results demonstrate that the axial anomaly can be simulated on current quantum computers and serves as a verification test of quantum computations.引用本文复制引用
Tomoya Hayata,Arata Yamamoto.Quantum anomaly for benchmarking quantum computing[EB/OL].(2026-09-22)[2026-09-29].https://arxiv.org/abs/2603.03697.学科分类
物理学
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