论文标题

对IBM量子系统上量子量子质量实现的误差缓解技术的比较分析

Comparative analysis of error mitigation techniques for variational quantum eigensolver implementations on IBM quantum system

论文作者

Zhang, Shaobo, Hill, Charles D., Usman, Muhammad

论文摘要

预计量子计算机将通过利用量子力学原理来超越计算密集任务的经典超级计算机。但是,由于噪声或错误,当前一代量子设备的功能受到限制,因此实施误差缓解和/或校正技术对于可靠处理量子算法至关重要。 In this work, we have performed a comparative analysis of the error mitigation capability of the [[4,2,2]] quantum error-detecting code (QEC method), duplicate circuit technique, and the Bayesian read-out error mitigation (BREM) approach in the context of proof-of-concept implementations of variational quantum eigensolver (VQE) algorithm for determining the ground state energy of H$_2$ molecule.根据在IBM量子设备上的实验,我们的结果表明,在存在硬件噪声的情况下,重复的电路方法的性能优于QEC方法。当重复电路的多个映射和QEC方法同时实现$ - $ - 再次,重复电路方法的总体执行效果比QEC方法更好时,观察到了交叉噪声的重大影响。为了进一步了解所研究的缓解误差技术的性能,我们还对IBM系统进行了量子模拟,具有不同的去极化电路噪声和读出误差的强度,这进一步支持了我们工作的主要发现,与QEC方法相比,重复的电路为缓解速度提供了卓越的性能。我们的工作报告了对量子算法实施的重复电路方法的首次评估,并且有记录的证据将为未来可扩展的可伸缩电路技术实施铺平道路,以用于近期量子计算机的错误减少实际应用。

Quantum computers are anticipated to transcend classical supercomputers for computationally intensive tasks by exploiting the principles of quantum mechanics. However, the capabilities of the current generation of quantum devices are limited due to noise or errors, and therefore implementation of error mitigation and/or correction techniques is pivotal to reliably process quantum algorithms. In this work, we have performed a comparative analysis of the error mitigation capability of the [[4,2,2]] quantum error-detecting code (QEC method), duplicate circuit technique, and the Bayesian read-out error mitigation (BREM) approach in the context of proof-of-concept implementations of variational quantum eigensolver (VQE) algorithm for determining the ground state energy of H$_2$ molecule. Based on experiments on IBM quantum device, our results show that the duplicate circuit approach performs superior to the QEC method in the presence of the hardware noise. A significant impact of cross-talk noise was observed when multiple mappings of the duplicate circuit and the QEC method were implemented simultaneously $-$ again the duplicate circuit approach overall performed better than the QEC method. To gain further insights into the performance of the studied error mitigation techniques, we also performed quantum simulations on IBM system with varying strengths of depolarising circuit noise and read-out errors which further supported the main finding of our work that the duplicate circuit offer superior performance towards mitigating of errors when compared to the QEC method. Our work reports a first assessment of the duplicate circuit approach for a quantum algorithm implementation and the documented evidence will pave the way for future scalable implementations of the duplicated circuit techniques for the error-mitigated practical applications of near-term quantum computers.

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