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Quantum generative adversarial networks based on a readout error mitigation method with fault tolerant mechanism |
| Run-Sheng Zhao(赵润盛)1, Hong-Yang Ma(马鸿洋)1, Tao Cheng(程涛)2, Shuang Wang(王爽)2, and Xing-Kui Fan(范兴奎)1,† |
1 School of Sciences, Qingdao University of Technology, Qingdao 266033, China;
2 School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266033, China |
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Abstract Readout errors caused by measurement noise are a significant source of errors in quantum circuits, which severely affect the output results and are an urgent problem to be solved in noisy-intermediate scale quantum (NISQ) computing. In this paper, we use the bit-flip averaging (BFA) method to mitigate frequent readout errors in quantum generative adversarial networks (QGAN) for image generation, which simplifies the response matrix structure by averaging the qubits for each random bit-flip in advance, successfully solving problems with high cost of measurement for traditional error mitigation methods. Our experiments were simulated in Qiskit using the handwritten digit image recognition dataset under the BFA-based method, the Kullback—Leibler (KL) divergence of the generated images converges to 0.04, 0.05, and 0.1 for readout error probabilities of p=0.01, p=0.05, and p=0.1, respectively. Additionally, by evaluating the fidelity of the quantum states representing the images, we observe average fidelity values of 0.97, 0.96, and 0.95 for the three readout error probabilities, respectively. These results demonstrate the robustness of the model in mitigating readout errors and provide a highly fault tolerant mechanism for image generation models.
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Received: 17 July 2023
Revised: 12 October 2023
Accepted manuscript online: 13 October 2023
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PACS:
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03.67.Ac
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(Quantum algorithms, protocols, and simulations)
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03.67.Pp
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(Quantum error correction and other methods for protection against decoherence)
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03.67.Lx
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(Quantum computation architectures and implementations)
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| Fund: Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. ZR2021MF049) and Joint Fund of Natural Science Foundation of Shandong Province (Grant Nos. ZR2022LLZ012 and ZR2021LLZ001). |
Corresponding Authors:
Xing-Kui Fan
E-mail: fanxingkui@126.com
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Cite this article:
Run-Sheng Zhao(赵润盛), Hong-Yang Ma(马鸿洋), Tao Cheng(程涛), Shuang Wang(王爽), and Xing-Kui Fan(范兴奎) Quantum generative adversarial networks based on a readout error mitigation method with fault tolerant mechanism 2024 Chin. Phys. B 33 040304
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