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Nonclassicality of multi-photon-added cat states

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers Jhordan Santiago and Petr Steindl demonstrate that adding photons to quantum cat states alters their fundamental properties, including a π phase shift when odd numbers of photons are introduced. The study reveals these modified states enter a sub-Poissonian regime—reducing photon number fluctuations—regardless of initial phase, enhancing their utility for quantum imaging applications. While photon addition eliminates traditional quadrature squeezing, it introduces amplitude-squared squeezing, creating a trade-off between quantum noise properties. Analysis of Wigner functions and Q parameters shows phase space displacements at the origin, confirming nonclassical behavior in these engineered states. The team proposes feasible generation methods using current quantum hardware, bridging theoretical insights with near-term experimental implementation.
Nonclassicality of multi-photon-added cat states

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Quantum Physics arXiv:2601.08894 (quant-ph) [Submitted on 13 Jan 2026] Title:Nonclassicality of multi-photon-added cat states Authors:Jhordan Santiago, Petr Steindl View a PDF of the paper titled Nonclassicality of multi-photon-added cat states, by Jhordan Santiago and 1 other authors View PDF Abstract:Multi-photon-added cat states are constructed by repeatedly applying the creation operator to a cat state. We study in detail their photon-number distribution, $Q$ parameter, squeezing properties, and Wigner function. We show that photon addition induces a $\pi$ phase shift in the original parity configuration whenever an odd number of photons is added, reflected as swapped vanishing probabilities and phase space displacements at the origin. Remarkably, the same process drives these states into a sub-Poissonian regime regardless of the relative phase between their coherent state components, making them valuable resources for quantum imaging, at the cost of losing quadrature squeezing, but gaining amplitude-squared one. We also discuss how these states can be generated using existing hardware. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.08894 [quant-ph] (or arXiv:2601.08894v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.08894 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: J. A. T Santiago [view email] [v1] Tue, 13 Jan 2026 13:44:57 UTC (419 KB) Full-text links: Access Paper: View a PDF of the paper titled Nonclassicality of multi-photon-added cat states, by Jhordan Santiago and 1 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-01 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