GadIR: A Spatial-Topology Preserving Compiler for Quantum Many-Body Systems Simulation

Quantum Physics arXiv:2609.01771 (quant-ph) [Submitted on 1 Sep 2026] Title:GadIR: A Spatial-Topology Preserving Compiler for Quantum Many-Body Systems Simulation Authors:Xiangyu Ren, Yuexun Huang, Zhaohui Yang, Yuchen Zhu, Tsung-Wei Huang, Tsung-Yi Ho, Zhiding Liang, Antonio Barbalace View a PDF of the paper titled GadIR: A Spatial-Topology Preserving Compiler for Quantum Many-Body Systems Simulation, by Xiangyu Ren and 7 other authors View PDF HTML (experimental) Abstract:Simulating quantum many-body systems has been one of the most important applications of quantum computation. For simulation, the Hamiltonian of a physical system is compiled into quantum programs with native instructions for quantum hardware. In previous works, the Hamiltonian is represented as Pauli strings, then compiled and optimized based on the quantum circuit model. Such representation paradigm neglects the spatial topology of original physical models, which is vital information to reducing the overhead of compiling many-body systems Hamiltonians. To address such neglect, we introduce a spatial-topology preserving compiler for quantum many-body simulation. Using Pauli gadgets as the representations of the Hamiltonian, we introduce our intermediate representation -- GadIR, to preserve the spatial-topology information of original physical models. Our compiler frontend performs the group reduction algorithm based on Pauli gadget model, which is a hardware-independent optimization. Our compiler backend performs trotterization and scheduling on Pauli gadgets, then synthesizes the Pauli gadgets into hardware-native quantum programs. We evaluate our compiler on all the canonical quantum many-body system models, while achieving a significant reduction on compilation overhead regarding four major quantum architectures. Overall, our spatial-topology preserving IR exploits the compilation optimization space for quantum many-body systems Hamiltonian. Comments: Subjects: Quantum Physics (quant-ph); Hardware Architecture (cs.AR); Programming Languages (cs.PL) Cite as: arXiv:2609.01771 [quant-ph] (or arXiv:2609.01771v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2609.01771 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Xiangyu Ren [view email] [v1] Tue, 1 Sep 2026 18:42:13 UTC (4,223 KB) Full-text links: Access Paper: View a PDF of the paper titled GadIR: A Spatial-Topology Preserving Compiler for Quantum Many-Body Systems Simulation, by Xiangyu Ren and 7 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-09 Change to browse by: cs cs.AR cs.PL References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators 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. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)