Hardware-efficient quantum annealing with error mitigation via classical shadow
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908288421986304 |
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| author | Yoshida, Takaharu Shingu, Yuta Shimada, Chihaya Nikuni, Tetsuro Hakoshima, Hideaki Matsuzaki, Yuichiro |
| author_facet | Yoshida, Takaharu Shingu, Yuta Shimada, Chihaya Nikuni, Tetsuro Hakoshima, Hideaki Matsuzaki, Yuichiro |
| contents | Quantum annealing (QA) is an efficient method for finding the ground-state energy of the problem Hamiltonian. However, in practical implementation, the system suffers from decoherence. On the other hand, recently, ``Localized virtual purification" (LVP) was proposed to suppress decoherence in the context of noisy intermediate-scale quantum (NISQ) devices. Suppose observables have spatially local support in the lattice. In that case, the requirement for LVP is to calculate the expectation value with a reduced density matrix on a portion of the total system. In this work, we propose a method to mitigate decoherence errors in QA using LVP. The key idea is to use the so-called classical shadow method to construct the reduced density matrix. Thanks to the CS, unlike the previous schemes to mitigate decoherence error for QA, we do not need either two-qubit gates or mid-circuit measurements, which means that our method is hardware-efficient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22269 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hardware-efficient quantum annealing with error mitigation via classical shadow Yoshida, Takaharu Shingu, Yuta Shimada, Chihaya Nikuni, Tetsuro Hakoshima, Hideaki Matsuzaki, Yuichiro Quantum Physics Quantum annealing (QA) is an efficient method for finding the ground-state energy of the problem Hamiltonian. However, in practical implementation, the system suffers from decoherence. On the other hand, recently, ``Localized virtual purification" (LVP) was proposed to suppress decoherence in the context of noisy intermediate-scale quantum (NISQ) devices. Suppose observables have spatially local support in the lattice. In that case, the requirement for LVP is to calculate the expectation value with a reduced density matrix on a portion of the total system. In this work, we propose a method to mitigate decoherence errors in QA using LVP. The key idea is to use the so-called classical shadow method to construct the reduced density matrix. Thanks to the CS, unlike the previous schemes to mitigate decoherence error for QA, we do not need either two-qubit gates or mid-circuit measurements, which means that our method is hardware-efficient. |
| title | Hardware-efficient quantum annealing with error mitigation via classical shadow |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2503.22269 |