Recovery of optical losses with the Petz recovery map

Quantum Physics arXiv:2511.05941 (quant-ph) [Submitted on 8 Nov 2025] Title:Recovery of optical losses with the Petz recovery map Authors:Jinyan Chen, Minjeong Song, Valerio Scarani View a PDF of the paper titled Recovery of optical losses with the Petz recovery map, by Jinyan Chen and 2 other authors View PDF HTML (experimental) Abstract:Optical systems are a main platform for quantum information processing, while a hidden challenge in these systems is information loss due to scattering into unmonitored modes, typically modeled as state-independent beam-splitter interactions. While such losses simply erase information encoded across modes, they directly degrade information encoded in the quantum state of a mode. Perfect correction of these Gaussian lossy channels with Gaussian operations alone is known to be impossible. In this work, we investigate the Petz recovery map as an approximate recovery. We construct the Petz recovery of single mode losses and its implementations. In particular, we show that the recovery performance of Petz recovery map is better than the recovery protocol that replaces the noisy state with the belief state. Also, when the reference state is far from the true state, it is better not to use the Petz recovery map but to leave the noisy state instead. We discuss the physical intuition of Petz recovery map and finally shows that it is near-optimal among the considered recovery protocols. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.05941 [quant-ph] (or arXiv:2511.05941v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.05941 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Jinyan Chen [view email] [v1] Sat, 8 Nov 2025 09:24:26 UTC (415 KB) Full-text links: Access Paper: View a PDF of the paper titled Recovery of optical losses with the Petz recovery map, by Jinyan Chen and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 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?)