monoprop: Scaling Pauli and Majorana propagation via Anticommutation Indices

Quantum Physics arXiv:2610.21000 (quant-ph) [Submitted on 14 Oct 2026] Title:monoprop: Scaling Pauli and Majorana propagation via Anticommutation Indices Authors:Aaron Miller View a PDF of the paper titled monoprop: Scaling Pauli and Majorana propagation via Anticommutation Indices, by Aaron Miller View PDF HTML (experimental) Abstract:We introduce monoprop, an open-source, massively parallel operator-propagation framework for fermion and qubit bases. For $N$ qubits or modes, existing codes represent each of the $K$ tracked operator terms (Pauli strings or products of Majorana operators) as a $2N$-bit string, testing each for anticommutation with the gate at $O(KN)$ cost per gate. Here, we introduce the anticommutation index which rapidly looks up the terms anticommuting with a gate. A local gate changes only the terms that touch its sites, and when terms are truncated to act on few sites, only a fraction $\sim1/N$ touch any given qubit or mode, and we use this to prove the time per gate scales as $O(K/N)$. This counterintuitive result tells us that for a fixed number of terms, increasing the number of sites can make things faster. We demonstrate this numerically, and show monoprop scales almost ideally to 8192 cores, tracking $9.5\times10^{10}$ terms. Beyond propagation, we present memory-efficient surrogate graphs, which record one propagation and replay it at new angles, for fast energy re-estimation and parameter gradients, and an efficient method for finding energy-minimising gates and optimal angles for simulating adaptive quantum-chemistry circuits. Comments: Subjects: Quantum Physics (quant-ph); Strongly Correlated Electrons (cond-mat.str-el) Cite as: arXiv:2610.21000 [quant-ph] (or arXiv:2610.21000v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2610.21000 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Aaron Miller Mr [view email] [v1] Wed, 14 Oct 2026 22:36:34 UTC (116 KB) Full-text links: Access Paper: View a PDF of the paper titled monoprop: Scaling Pauli and Majorana propagation via Anticommutation Indices, by Aaron MillerView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-10 Change to browse by: cond-mat cond-mat.str-el 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?)