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D2-UC: A Distributed-Distributed Quantum-Classical Framework for Unit Commitment

Milad Hasanzadeh, Amin Kargarian
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⚡ Quantum Brief
Researchers Milad Hasanzadeh and Amin Kargarian propose D2-UC, a hybrid quantum-classical framework for the unit commitment (UC) problem, designed for near-term quantum hardware by combining distributed classical and quantum execution. The framework reformulates UC into three ADMM blocks: a convex dispatch subproblem, a QUBO-formulated binary subproblem, and a consensus update, enabling direct quantum solver integration while maintaining classical compatibility. A key innovation decomposes the monolithic QUBO into three type-specific subproblems (commitment, startup, shutdown), improving tractability but initially slowing convergence, which is later mitigated through micro-QUBO optimizations. Micro-QUBOs are batched into non-overlapping block-diagonal problems, reducing solver workload to fixed QUBO sets per iteration—ideal for distributed variational quantum eigensolvers (DVQE) and current hardware constraints. Case studies validate faster convergence, feasible schedules, and hardware-aligned QUBO sizes, with an "accept-if-better" safeguard stabilizing hybrid updates to prevent oscillations in DVQE applications.
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Quantum Physics arXiv:2511.03104 (quant-ph) [Submitted on 5 Nov 2025] Title:D2-UC: A Distributed-Distributed Quantum-Classical Framework for Unit Commitment Authors:Milad Hasanzadeh, Amin Kargarian View a PDF of the paper titled D2-UC: A Distributed-Distributed Quantum-Classical Framework for Unit Commitment, by Milad Hasanzadeh and 1 other authors View PDF HTML (experimental) Abstract:This paper introduces D2-UC, a quantum-ready framework for the unit commitment (UC) problem that prepares UC for near-term hybrid quantum-classical solvers by combining distributed classical decomposition with distributed quantum execution. We reformulate deterministic and stochastic UC into a three-block alternating direction method of multipliers (ADMM): (i) a convex quadratic subproblem for dispatch and reserves, (ii) a binary subproblem expressed as a quadratic unconstrained binary optimization (QUBO), and (iii) a proximal slack update for consensus. The core contributions are fivefold. First, we demonstrate how the full UC problem can be expressed as a single monolithic QUBO, establishing a direct interface to quantum solvers. Second, we decompose this large binary block into three type-specific QUBOs for commitment, startup, and shutdown, making the problem more tractable but revealing slower ADMM convergence. Third, we restore local logical couplings through per-unit-time micro-QUBOs, which accelerate convergence. Fourth, we batch micro-QUBOs into K non-overlapping block-diagonal problems, reducing many subproblems to a fixed number of solver-ready QUBOs per iteration, compatible with distributed variational quantum eigensolvers (DVQE). Fifth, we integrate an accept-if-better safeguard with DVQE to stabilize hybrid updates and prevent oscillations. Case studies confirm that the proposed methods deliver feasible schedules, faster convergence, and QUBO sizes aligned with current and near-term quantum hardware capabilities. All detailed data, codes, and parameter values are available at this https URL . Subjects: Quantum Physics (quant-ph); Systems and Control (eess.SY) Cite as: arXiv:2511.03104 [quant-ph] (or arXiv:2511.03104v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.03104 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Milad Hasanzadeh [view email] [v1] Wed, 5 Nov 2025 01:20:09 UTC (2,998 KB) Full-text links: Access Paper: View a PDF of the paper titled D2-UC: A Distributed-Distributed Quantum-Classical Framework for Unit Commitment, by Milad Hasanzadeh and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 Change to browse by: cs cs.SY eess eess.SY 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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