Structured Quantum State Reconstruction via Physically Motivated Operator Selection

Quantum Physics [Submitted on 23 Apr 2026] Structured Quantum State Reconstruction via Physically Motivated Operator Selection Ayush Chambyal, Brijesh, Rakesh Sharma Quantum state tomography (QST) scales exponentially in both measurement and computational cost, making full reconstruction impractical for multi-qubit systems. Existing approaches attempt to reduce this complexity, but do not explicitly restrict the operator space based on physically relevant correlations. We develop a structured QST framework in which the density matrix is reconstructed using a restricted set of observables in a Gibbs representation. The Structured Gibbs Quantum State Tomography (SG-QST) is built by progressively including local, nearest-neighbor, and global correlations. Benchmarking on three, four, and five-qubit. GHZ states shows that comparable fidelity can be achieved with significantly fewer parameters by restricting the operator space to physically relevant observables. These results demonstrate that physically motivated operator-space restriction enables efficient and interpretable quantum state reconstruction. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.21272 [quant-ph]   (or arXiv:2604.21272v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2604.21272 Focus to learn more Submission history From: Ayush Chambyal [view email] [v1] Thu, 23 Apr 2026 04:30:39 UTC (53 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation 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 Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)