Efficient simulation of noisy IQP circuits with amplitude-damping noise
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Quantum Physics arXiv:2604.05036 (quant-ph) [Submitted on 6 Apr 2026] Title:Efficient simulation of noisy IQP circuits with amplitude-damping noise Authors:Shravan Shravan, Mohsin Raza, Ariel Shlosberg View a PDF of the paper titled Efficient simulation of noisy IQP circuits with amplitude-damping noise, by Shravan Shravan and 1 other authors View PDF HTML (experimental) Abstract:Efficient classical simulation of noisy intermediate-scale quantum (NISQ) circuits has been a topic of intense study over the past few years. The majority of results on efficient simulation assume that the circuits undergo some variant of unital noise or involve sufficient randomness. However, there are limited results for circuits undergoing non-unital noise in the absence of randomness. In this work, we present a polynomial-time classical algorithm to sample from the output distributions of amplitude-damped instantaneous quantum polynomial (IQP) circuits. Our algorithm works for circuits generated by arbitrary $l$-local diagonal gates with depth $d = \Omega(\log(n))$, undergoing constant amplitude-damping noise. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.05036 [quant-ph] (or arXiv:2604.05036v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.05036 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Shravan Shravan [view email] [v1] Mon, 6 Apr 2026 18:00:04 UTC (120 KB) Full-text links: Access Paper: View a PDF of the paper titled Efficient simulation of noisy IQP circuits with amplitude-damping noise, by Shravan Shravan and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 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?)