Programmable Fermionic Quantum Processors with Globally Controlled Lattices

Quantum Physics [Submitted on 14 Apr 2026] Programmable Fermionic Quantum Processors with Globally Controlled Lattices Gabriele Calliari, Charles Fromonteil, Francesco Cesa, Torsten V. Zache, Philipp M. Preiss, Robert Ott, Hannes Pichler 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 Submission history From: Gabriele Calliari [view email] [v1] Tue, 14 Apr 2026 18:00:01 UTC (7,638 KB) Access Paper: view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-04 Change to browse by: cond-mat cond-mat.quant-gas physics physics.atom-ph References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation 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 Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)