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Validating quantum-supremacy experiments with exact and fast tensor network contraction
- Source :
- Physical Review Letters, 132, 030601 (2024)
- Publication Year :
- 2022
-
Abstract
- 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.<br />Comment: 5 pages, 3 figures, comments are welcome!
- Subjects :
- Quantum Physics
Computer Science - Distributed, Parallel, and Cluster Computing
Subjects
Details
- Database :
- arXiv
- Journal :
- Physical Review Letters, 132, 030601 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2212.04749
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevLett.132.030601