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Enhancing the Size of Phase-Space States Containing Sub-Planck-Scale Structures via Non-Gaussian Operations

arXiv Quantum Physics
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Researchers Arman and Panigrahi demonstrate that photon-added cat and kitten states exhibit superior phase-space sensitivity compared to their original forms, achieving metrological advantages through amplitude broadening—though at higher energy costs. The study constructs squeezed and superposed states (squeezed cat and symmetrically squeezed states) using weak squeezing and displacement, then compares their photon-added variants with parity-matched states via quantum Fisher information and fidelity metrics. Quantum Fisher information analysis reveals optimal regimes where kitten states maintain high fidelity and large amplitude, enabling efficient preparation through Gaussian operations combined with photon addition. Enhanced cat states, when modified with squeezing and photon addition, show improved metrological performance, with larger phase-space areas reducing interferometric fringe sizes—a key benefit for quantum error correction in cat codes. The findings suggest accessible non-classical resources can amplify sub-Planck-scale structures, advancing both quantum metrology and fault-tolerant quantum computing applications.
Enhancing the Size of Phase-Space States Containing Sub-Planck-Scale Structures via Non-Gaussian Operations

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Quantum Physics arXiv:2601.15654 (quant-ph) [Submitted on 22 Jan 2026] Title:Enhancing the Size of Phase-Space States Containing Sub-Planck-Scale Structures via Non-Gaussian Operations Authors:Arman, Prasanta K. Panigrahi View a PDF of the paper titled Enhancing the Size of Phase-Space States Containing Sub-Planck-Scale Structures via Non-Gaussian Operations, by Arman and Prasanta K. Panigrahi View PDF HTML (experimental) Abstract:We observe a metrological advantage in phase-space sensitivity for photon-added cat and kitten states over their original forms, due to phase-space broadening from increased amplitude via photon addition, albeit with higher energy cost. Using accessible non-classical resources, weak squeezing and displacement, we construct a squeezed state and two superposed states: the squeezed cat state and the symmetrically squeezed state. Their photon-added variants are compared with parity-matched cat and KSs using quantum Fisher information and fidelity. The QFI isocontours reveal regimes where KS exhibit high fidelity and large amplitude, enabling their preparation via Gaussian operations and photon addition. Similar regimes are identified for cat states enhanced by squeezing and photon addition, demonstrating improved metrological performance. Moreover, increased amplitude and thus larger phase-space area reduces the size of interferometric fringes, enhancing the effectiveness of quantum error correction in cat codes. Subjects: Quantum Physics (quant-ph); Optics (physics.optics) Cite as: arXiv:2601.15654 [quant-ph] (or arXiv:2601.15654v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.15654 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: A Arman [view email] [v1] Thu, 22 Jan 2026 05:02:56 UTC (2,895 KB) Full-text links: Access Paper: View a PDF of the paper titled Enhancing the Size of Phase-Space States Containing Sub-Planck-Scale Structures via Non-Gaussian Operations, by Arman and Prasanta K. PanigrahiView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 Change to browse by: physics 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?) Links to Code Toggle Papers with Code (What is Papers with Code?) 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