https://doi.org/10.1140/epjqt/s40507-026-00505-y
Research
HAQA: a hardware-guided and fidelity-aware strategy for efficient qubit mapping optimization
1
The School of Electronic Science and Engineering, University of Electronic Science and Technology of China, No. 2006, Xiyuan Ave, 611731, Chengdu, Sichuan, China
2
The School of Information and Software Engineering, University of Electronic Science and Technology of China, No. 2006, Xiyuan Ave, 611731, Chengdu, Sichuan, China
3
The School of Computer Science and Engineering, University of Electronic Science and Technology of China, No. 2006, Xiyuan Ave, 611731, Chengdu, Sichuan, China
4
The School of Computer Science and Software Engineering, Southwest Petroleum University, No. 8, Xindu Road, 610500, Chengdu, Sichuan, China
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
16
April
2025
Accepted:
31
March
2026
Published online:
17
April
2026
Abstract
Quantum compilation bridges the gap between abstract quantum algorithms and physical hardware execution. However, on Noisy Intermediate-Scale Quantum (NISQ) devices, particularly within superconducting architectures, mapping logical circuits to physical qubits remains a fundamental bottleneck due to rigid connectivity constraints and heterogeneous noise profiles. While exact mapping solvers theoretically ensure optimality, they face severe scalability issues on large-scale chips. The search space for global optimization becomes intractable as the system size increases. This scalability barrier largely arises because conventional methods often treat the hardware coupling graph as a homogeneous entity. By performing global searches with weak awareness of physical fidelity distributions, they fail to exploit the hardware’s inherent structural advantages. To address this, we propose HAQA, a hardware-guided strategy that shifts the mapping paradigm from a blind global search to an adaptive, fidelity-aware regional optimization. Specifically, HAQA identifies optimal topological subgraphs through a community-based recursive fusion mechanism. This approach achieves a dual benefit: it reduces solving complexity from exponential to polynomial levels by effectively pruning the search space, while simultaneously enhancing execution fidelity by prioritizing high-quality physical qubits. Experimental evaluations on IBM Eagle and Heron processors demonstrate significant efficiency gains. HAQA accelerates state-of-the-art SMT solvers (QSynth-v2 and TB-OLSQ2) by factors of 632.76× and 286.87×, respectively, while improving fidelity by up to 238.28%. These results suggest that integrating fine-grained physical awareness provides an effective pathway to balance computational complexity and execution quality in quantum compilation, positioning HAQA as a plug-and-play enhancement compatible with various solvers.
Key words: Quantum computing / Qubit mapping / Quantum circuit optimization / Solver / Fidelity
© The Author(s) 2026
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

