Deep-learned error mitigation via partially knitted circuits for the variational quantum eigensolver
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910987340218368 |
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| author | Cantori, Simone Mari, Andrea Vitali, David Pilati, Sebastiano |
| author_facet | Cantori, Simone Mari, Andrea Vitali, David Pilati, Sebastiano |
| contents | The variational quantum eigensolver (VQE) is generally regarded as a promising quantum algorithm for near-term noisy quantum computers. However, when implemented with the deep circuits that are in principle required for achieving a satisfactory accuracy, the algorithm is strongly limited by noise. Here, we show how to make VQE functional via a tailored error mitigation technique based on deep learning. Our method employs multilayer perceptrons trained on the fly to predict ideal expectation values from noisy outputs combined with circuit descriptors. Importantly, a circuit knitting technique with partial knitting is adopted to substantially reduce the classical computational cost of creating the training data. We also show that other popular general-purpose quantum error mitigation techniques do not reach comparable accuracies. Our findings highlight the power of deep-learned quantum error mitigation methods tailored to specific circuit families, and of the combined use of variational quantum algorithms and classical deep learning. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04146 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deep-learned error mitigation via partially knitted circuits for the variational quantum eigensolver Cantori, Simone Mari, Andrea Vitali, David Pilati, Sebastiano Quantum Physics Disordered Systems and Neural Networks The variational quantum eigensolver (VQE) is generally regarded as a promising quantum algorithm for near-term noisy quantum computers. However, when implemented with the deep circuits that are in principle required for achieving a satisfactory accuracy, the algorithm is strongly limited by noise. Here, we show how to make VQE functional via a tailored error mitigation technique based on deep learning. Our method employs multilayer perceptrons trained on the fly to predict ideal expectation values from noisy outputs combined with circuit descriptors. Importantly, a circuit knitting technique with partial knitting is adopted to substantially reduce the classical computational cost of creating the training data. We also show that other popular general-purpose quantum error mitigation techniques do not reach comparable accuracies. Our findings highlight the power of deep-learned quantum error mitigation methods tailored to specific circuit families, and of the combined use of variational quantum algorithms and classical deep learning. |
| title | Deep-learned error mitigation via partially knitted circuits for the variational quantum eigensolver |
| topic | Quantum Physics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2506.04146 |