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Programmable Fermionic Quantum Processors with Globally Controlled Lattices

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers from Austria and Germany proposed a universal framework for fermionic quantum processing using globally controlled optical lattices, published in April 2026. The team demonstrates how neutral atoms in these lattices can simulate arbitrary fermionic systems with time-dependent global parameters. The study proves universality by showing how Fermi-Hubbard models—key for simulating quantum materials—can be fully programmed via global controls like tunneling and interaction strength, eliminating the need for local addressing. A hybrid analog-digital approach is introduced, enabling simulations of extended Fermi-Hubbard models with long-range couplings, which are critical for studying complex quantum matter like high-temperature superconductors. The framework is adaptable to other platforms beyond optical lattices, including trapped ions or superconducting qubits, broadening its potential for scalable quantum simulation across different hardware. Constructive protocols are provided for experimental implementation, offering a practical roadmap for building programmable fermionic processors with existing quantum technologies.
Programmable Fermionic Quantum Processors with Globally Controlled Lattices

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Quantum Physics arXiv:2604.13160 (quant-ph) [Submitted on 14 Apr 2026] Title:Programmable Fermionic Quantum Processors with Globally Controlled Lattices Authors:Gabriele Calliari, Charles Fromonteil, Francesco Cesa, Torsten V. Zache, Philipp M. Preiss, Robert Ott, Hannes Pichler View a PDF of the paper titled Programmable Fermionic Quantum Processors with Globally Controlled Lattices, by Gabriele Calliari and 6 other authors View PDF Abstract:We introduce a framework for realizing universal fermionic quantum processing with globally controlled itinerant fermionic particles. Our approach is tailored to the example of neutral atoms in optical lattices, but transposes to other setups with similar capabilities. We give constructive protocols to realize arbitrary fermionic processes, with time-dependent control over global parameters of the experimental setup, such as tunneling and interaction in a Fermi-Hubbard type model. We first prove the universality of our framework and then discuss implementation variants, such as hybrid analog-digital simulation of extended Fermi-Hubbard models, e.g., with long-range couplings. Subjects: Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas); Atomic Physics (physics.atom-ph) Cite as: arXiv:2604.13160 [quant-ph] (or arXiv:2604.13160v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.13160 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Gabriele Calliari [view email] [v1] Tue, 14 Apr 2026 18:00:01 UTC (7,638 KB) Full-text links: Access Paper: View a PDF of the paper titled Programmable Fermionic Quantum Processors with Globally Controlled Lattices, by Gabriele Calliari and 6 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-04 Change to browse by: cond-mat cond-mat.quant-gas physics physics.atom-ph 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?)

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Source: arXiv Quantum Physics