Deterministic linear-optical computing with symmetry-based qubits
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Quantum Physics arXiv:2604.06584 (quant-ph) [Submitted on 8 Apr 2026] Title:Deterministic linear-optical computing with symmetry-based qubits Authors:David S. Simon, Christopher R. Schwarze, Anthony D. Manni, Abdoulaye Ndao, Alexander V. Sergienko View a PDF of the paper titled Deterministic linear-optical computing with symmetry-based qubits, by David S. Simon and 4 other authors View PDF HTML (experimental) Abstract:A particular type of linear optical multiport, the Grover four-port, has previously been shown to couple the spatial symmetry of a photon to its direction of travel. It is shown here that use of a nonstandard choice of qubit, based on symmetry, allows Grover four ports to act as compact, low-resource deterministic linear optical controlledNOTgates, with no post-selection or ancilla measurements required. This approach allows programmable devices, made from Grover multiports in combination with other standard optical components, that can implement multiple different one-, two-, and three-qubit gates, including the Fredkin and Toffoli gates. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.06584 [quant-ph] (or arXiv:2604.06584v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.06584 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Quantum Information Processing 25, 136 (2026) Related DOI: https://doi.org/10.1007/s11128-026-05157-6 Focus to learn more DOI(s) linking to related resources Submission history From: David Simon [view email] [v1] Wed, 8 Apr 2026 02:12:17 UTC (452 KB) Full-text links: Access Paper: View a PDF of the paper titled Deterministic linear-optical computing with symmetry-based qubits, by David S. Simon and 4 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?)