论文标题

使用精确和快速张量网络收缩验证量子苏联实验

Validating quantum-supremacy experiments with exact and fast tensor network contraction

论文作者

Liu, Yong, Chen, Yaojian, Guo, Chu, Song, Jiawei, Shi, Xinmin, Gan, Lin, Wu, Wenzhao, Wu, Wei, Fu, Haohuan, Liu, Xin, Chen, Dexun, Zhao, Zhifeng, Yang, Guangwen, Gao, Jiangang

论文摘要

量子至高无上的实验,例如Google Sycamore [Nature \ TextBf {574},505(2019)],由于指数增加的计算成本,对经典验证构成了巨大挑战。使用新一代Sunway超级计算机在$ 8.5 $天数之内,我们通过为实验生成的Bitsring计算300万精确振幅提供直接验证,获得XEB Fidelity $ 0.191 \%\%$(估计值为0.2224美元\%$ $ $)。模拟能力的飞跃是建立在多幅度张量网络收缩算法上的,该算法会系统地利用当前超级指定器的``经典优势''(固有的``经典优势''(固有的'von neumann机器的固有``商店和计算)操作模式),融合了融合的tensor网络网络contraction contaction algorithM,从而使架构构造了构造,以提高架构的架构。我们的方法在解决量子多体问题,统计问题以及组合优化问题方面具有深远的影响。

The quantum supremacy experiment, such as Google Sycamore [Nature \textbf{574}, 505 (2019)], poses great challenge for classical verification due to the exponentially-increasing compute cost. Using a new-generation Sunway supercomputer within $8.5$ days, we provide a direct verification by computing three million exact amplitudes for the experimentally generated bitstrings, obtaining an XEB fidelity of $0.191\%$ (the estimated value is $0.224\%$). The leap of simulation capability is built on a multiple-amplitude tensor network contraction algorithm which systematically exploits the ``classical advantage" (the inherent ``store-and-compute" operation mode of von Neumann machines) of current supercomputers, and a fused tensor network contraction algorithm which drastically increases the compute efficiency on heterogeneous architectures. Our method has a far-reaching impact in solving quantum many-body problems, statistical problems as well as combinatorial optimization problems.

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