{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/towards-a-quantum-simulation-of-nonlinear","title":"Towards a Quantum Simulation of Nonlinear Sigma Models with a Topological Term","arxiv_id":"2210.03679","date":"2022-10-07","proceeding":null,"authors":["Jack Y. Araz","Sebastian Schenk","Michael Spannowsky"],"abstract":"We determine the mass gap of a two-dimensional $O(3)$ nonlinear sigma model augmented with a topological $\\theta$-term using tensor network and digital quantum algorithms. As proof of principle, we consider the example $\\theta = \\pi$ and study its critical behaviour on a quantum simulator by examining the entanglement entropy of the ground state. We confirm that the quantum theory is massless in the strong-coupling regime, in agreement with analytical results. However, we also highlight the limitations of current quantum algorithms, designed for noisy intermediate-scale quantum devices, in the theory simulation at weak coupling. Finally, we compare the performance of our quantum algorithms to classical tensor network methods.","url_abs":"https://arxiv.org/abs/2210.03679v2","url_pdf":"https://arxiv.org/pdf/2210.03679v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"towards-a-quantum-simulation-of-nonlinear","repo_url":"https://gitlab.com/jackaraz/sigmamodel","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}