Structured Quantum State Reconstruction via Physically Motivated Operator Selection
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917430501048320 |
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| author | Chambyal, Ayush Brijesh Sharma, Rakesh |
| author_facet | Chambyal, Ayush Brijesh Sharma, Rakesh |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21272 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Structured Quantum State Reconstruction via Physically Motivated Operator Selection Chambyal, Ayush Brijesh Sharma, Rakesh Quantum Physics 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. |
| title | Structured Quantum State Reconstruction via Physically Motivated Operator Selection |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2604.21272 |