Convergence of sample-based quantum diagonalization on a variable-length cuprate chain
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911302174113792 |
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| author | Wray, L. Andrew Lin, Cheng-Ju Su, Vincent Gharibyan, Hrant |
| author_facet | Wray, L. Andrew Lin, Cheng-Ju Su, Vincent Gharibyan, Hrant |
| contents | Sample-based quantum diagonalization (SQD) is an algorithm for hybrid quantum-classical molecular simulation that has been of broad interest for application with noisy intermediate scale quantum (NISQ) devices. However, SQD does not always converge on a practical timescale. Here, we explore scaling of the algorithm for a variable-length molecule made up of 2 to 6 copper oxide plaquettes with a minimal molecular orbital basis. The results demonstrate that enabling all-to-all connectivity, instituting a higher expansion order for the SQD algorithm, and adopting a non-Hartree-Fock molecular orbital basis can all play significant roles in overcoming sampling bottlenecks, though with tradeoffs that need to be weighed against the capabilities of quantum and classical hardware. Additionally, we find that noise on a real quantum computer, the Quantinuum H2 trapped ion device, can improve energy convergence beyond expectations based on noise-free statevector simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04962 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Convergence of sample-based quantum diagonalization on a variable-length cuprate chain Wray, L. Andrew Lin, Cheng-Ju Su, Vincent Gharibyan, Hrant Quantum Physics Other Condensed Matter Chemical Physics Computational Physics Sample-based quantum diagonalization (SQD) is an algorithm for hybrid quantum-classical molecular simulation that has been of broad interest for application with noisy intermediate scale quantum (NISQ) devices. However, SQD does not always converge on a practical timescale. Here, we explore scaling of the algorithm for a variable-length molecule made up of 2 to 6 copper oxide plaquettes with a minimal molecular orbital basis. The results demonstrate that enabling all-to-all connectivity, instituting a higher expansion order for the SQD algorithm, and adopting a non-Hartree-Fock molecular orbital basis can all play significant roles in overcoming sampling bottlenecks, though with tradeoffs that need to be weighed against the capabilities of quantum and classical hardware. Additionally, we find that noise on a real quantum computer, the Quantinuum H2 trapped ion device, can improve energy convergence beyond expectations based on noise-free statevector simulations. |
| title | Convergence of sample-based quantum diagonalization on a variable-length cuprate chain |
| topic | Quantum Physics Other Condensed Matter Chemical Physics Computational Physics |
| url | https://arxiv.org/abs/2512.04962 |