An Error Mitigated Non-Orthogonal Quantum Eigensolver via Shadow Tomography
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914398998626304 |
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| author | Ren, Hang Zhang, Yipei Billings, Wendy M. Tomann, Rebecca Tkachenko, Nikolay V. Head-Gordon, Martin Whaley, K. Birgitta |
| author_facet | Ren, Hang Zhang, Yipei Billings, Wendy M. Tomann, Rebecca Tkachenko, Nikolay V. Head-Gordon, Martin Whaley, K. Birgitta |
| contents | We present a shadow-tomography-enhanced Non-Orthogonal Quantum Eigensolver (NOQE) for more efficient and accurate electronic structure calculations on near-term quantum devices. By integrating shadow tomography into the NOQE, the measurement cost scales linearly rather than quadratically with the number of reference states, while also reducing the required qubits and circuit depth by half. This approach enables extraction of all matrix elements via randomized measurements and classical postprocessing. We analyze its sample complexity and show that, for small systems, it remains constant in the high-precision regime, while for larger systems, it scales linearly with the system size. We further apply shadow-based error mitigation to suppress noise-induced bias without increasing quantum resources. Demonstrations on the hydrogen molecule in the strongly correlated regime achieve chemical accuracy under realistic noise, showing that our method is both resource-efficient and noise-resilient for practical quantum chemistry simulations in the near term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16008 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Error Mitigated Non-Orthogonal Quantum Eigensolver via Shadow Tomography Ren, Hang Zhang, Yipei Billings, Wendy M. Tomann, Rebecca Tkachenko, Nikolay V. Head-Gordon, Martin Whaley, K. Birgitta Quantum Physics We present a shadow-tomography-enhanced Non-Orthogonal Quantum Eigensolver (NOQE) for more efficient and accurate electronic structure calculations on near-term quantum devices. By integrating shadow tomography into the NOQE, the measurement cost scales linearly rather than quadratically with the number of reference states, while also reducing the required qubits and circuit depth by half. This approach enables extraction of all matrix elements via randomized measurements and classical postprocessing. We analyze its sample complexity and show that, for small systems, it remains constant in the high-precision regime, while for larger systems, it scales linearly with the system size. We further apply shadow-based error mitigation to suppress noise-induced bias without increasing quantum resources. Demonstrations on the hydrogen molecule in the strongly correlated regime achieve chemical accuracy under realistic noise, showing that our method is both resource-efficient and noise-resilient for practical quantum chemistry simulations in the near term. |
| title | An Error Mitigated Non-Orthogonal Quantum Eigensolver via Shadow Tomography |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.16008 |