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Theoretical Study for Generating Optical GKP State via a Single-Photon-Added Squeezed Vacuum

arXiv Quantum Physics
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A new theoretical framework proposes generating optical GKP states using a single-photon-added squeezed vacuum, a simpler alternative to Schrödinger cat states. The method injects the state into a 50:50 beam splitter, with conditional measurement at one port producing a finite-energy GKP approximation. Fidelity metrics confirm the approach achieves 85% maximum fidelity at 3.76 dB squeezing, outperforming prior cat-state-based methods. This technique offers a more experimentally accessible pathway for fault-tolerant photonic quantum computing. The study highlights its potential as a practical solution for advancing quantum information processing.
Theoretical Study for Generating Optical GKP State via a Single-Photon-Added Squeezed Vacuum

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Quantum Physics arXiv:2606.12467 (quant-ph) [Submitted on 9 Jun 2026] Title:Theoretical Study for Generating Optical GKP State via a Single-Photon-Added Squeezed Vacuum Authors:Deriyan Senjaya View a PDF of the paper titled Theoretical Study for Generating Optical GKP State via a Single-Photon-Added Squeezed Vacuum, by Deriyan Senjaya View PDF HTML (experimental) Abstract:A theoretical framework is developed to analyze the generation of the optical GKP state using a single-photon-added squeezed vacuum. This state, defined by the squeezing parameter $r$, is injected into a 50:50 beam splitter, and the optical GKP state is obtained through conditional measurement at one output port. The single-photon-added squeezed vacuum is especially prominent in this context because it provides a simpler and more experimentally accessible ingredient than Schrodinger cat states, while conditional measurement ensures projection onto a state that closely approximates the finite-energy GKP form. Fidelity is employed to quantify this closeness, and the analysis demonstrates that the scheme achieves a maximum fidelity of 85% at a squeezing level of $3.76 \ \text{dB}$. This performance surpasses approaches based on squeezed optical odd Schrodinger cat states, underscoring the single-photon-added squeezed vacuum as a practical and effective pathway toward fault-tolerant photonic quantum computing. Comments: Subjects: Quantum Physics (quant-ph); Applied Physics (physics.app-ph); Optics (physics.optics) Cite as: arXiv:2606.12467 [quant-ph] (or arXiv:2606.12467v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.12467 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Deriyan Senjaya [view email] [v1] Tue, 9 Jun 2026 15:20:58 UTC (2,002 KB) Full-text links: Access Paper: View a PDF of the paper titled Theoretical Study for Generating Optical GKP State via a Single-Photon-Added Squeezed Vacuum, by Deriyan SenjayaView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 Change to browse by: physics physics.app-ph physics.optics 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