Decoder-Consistent Hamiltonians for POVM-Based Quantum Relaxations
Summarize this article with:
Quantum Physics arXiv:2606.05604 (quant-ph) [Submitted on 4 Jun 2026] Title:Decoder-Consistent Hamiltonians for POVM-Based Quantum Relaxations Authors:Takayuki Suzuki View a PDF of the paper titled Decoder-Consistent Hamiltonians for POVM-Based Quantum Relaxations, by Takayuki Suzuki View PDF HTML (experimental) Abstract:In compression-based quantum relaxations like QRAO, classical variables are encoded into qubits and decoded after optimization. We formalize that the choice of the quantum Hamiltonian is fundamentally determined by this decoder. By representing the decoder as a POVM, we define a unique decoder-consistent Hamiltonian via the pullback of the post-decoding expected objective value. Using this framework, we reveal that standard QRAO Hamiltonians are inconsistent for certain mixed-degree quadratic functions, and we provide new approximation guarantees for the MaxCut problem based directly on POVM decoder design. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2606.05604 [quant-ph] (or arXiv:2606.05604v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.05604 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Takayuki Suzuki [view email] [v1] Thu, 4 Jun 2026 02:27:20 UTC (15 KB) Full-text links: Access Paper: View a PDF of the paper titled Decoder-Consistent Hamiltonians for POVM-Based Quantum Relaxations, by Takayuki SuzukiView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 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?)