Quantum anomaly for benchmarking quantum computing

• URL: http://arxiv.org/abs/2603.03697v1
• Date: Wed, 04 Mar 2026 03:48:44 GMT
• Title: Quantum anomaly for benchmarking quantum computing
• Authors: Tomoya Hayata, Arata Yamamoto,
• Abstract summary: We exploit the fact that the axial anomaly in gauge perturbation theories is exact to all orders in theory.<n>We simulate anomalous axial-charge production in $mathbb Z_N$ lattice gauge theories on the trapped-ion quantum computer Reimei''<n>Our results demonstrate that the axial anomaly can be simulated on current quantum computers and serves as a verification test of quantum computations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Given the rapid advances in quantum computing hardware, establishing systematic 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 anomalous 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.

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