Geometric-Phase (Pancharatnam-Berry) Correction for Time-Bin Photonic Qudits: A Calibration and Feed-Forward Algorithm
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Quantum Physics arXiv:2604.27009 (quant-ph) [Submitted on 29 Apr 2026] Title:Geometric-Phase (Pancharatnam-Berry) Correction for Time-Bin Photonic Qudits: A Calibration and Feed-Forward Algorithm Authors:Ryan Rae-Cheng Wee, Josef Bruzzese View a PDF of the paper titled Geometric-Phase (Pancharatnam-Berry) Correction for Time-Bin Photonic Qudits: A Calibration and Feed-Forward Algorithm, by Ryan Rae-Cheng Wee and Josef Bruzzese View PDF HTML (experimental) Abstract:We develop a geometric-phase framework for time-bin photonic qudits and propose a practical calibration and feed-forward algorithm for separating and compensating geometric (Pancharatnam-Berry), dynamical, and technical phase contributions. Working directly in the time-bin basis, we use a parallel-transport gauge so that geometric phases appear as experimentally identifiable interferometric offsets, while all phase contributions enter a bin-resolved diagonal transformation. We model state preparation by cascaded unbalanced Mach-Zehnder interferometers and give closed-form amplitudes for arbitrary splitting ratios and phases, noting that single-port monitoring requires post-selection and renormalization. We then give an interferometric tomography recipe based on adjacent-bin scans, with a Fourier-basis cross-check, and a multi-mode numerical case study that separates total, dynamical, and geometric phases and demonstrates feed-forward compensation. The protocol uses standard components, including tunable UMZIs, phase shifters or EOMs, and single-photon detectors, together with routine phase sweeps. It is intended for small to moderate dimensions, approximately d up to 10, and provides a scalable route toward phase-stable high-dimensional temporal encoding for quantum communication and photonic processing. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.27009 [quant-ph] (or arXiv:2604.27009v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.27009 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Ryan Rae-Cheng Wee [view email] [v1] Wed, 29 Apr 2026 09:18:02 UTC (556 KB) Full-text links: Access Paper: View a PDF of the paper titled Geometric-Phase (Pancharatnam-Berry) Correction for Time-Bin Photonic Qudits: A Calibration and Feed-Forward Algorithm, by Ryan Rae-Cheng Wee and Josef BruzzeseView 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?)