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与量子退火器的时间并行动力学。

Parallel in time dynamics with quantum annealers.

作者信息

Jałowiecki Konrad, Więckowski Andrzej, Gawron Piotr, Gardas Bartłomiej

机构信息

Institute of Physics, University of Silesia, 75 Pułku Piechoty 1, 41-500, Chorzów, Poland.

Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, 50-370, Wrocław, Poland.

出版信息

Sci Rep. 2020 Aug 11;10(1):13534. doi: 10.1038/s41598-020-70017-x.

DOI:10.1038/s41598-020-70017-x
PMID:32782306
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7421488/
Abstract

Recent years have witnessed an unprecedented increase in experiments and hybrid simulations involving quantum computers. In particular, quantum annealers. There exist a plethora of algorithms promising to outperform classical computers in the near-term future. Here, we propose a parallel in time approach to simulate dynamical systems designed to be executed already on present-day quantum annealers. In essence, purely classical methods for solving dynamics systems are serial. Therefore, their parallelization is substantially limited. In the presented approach, however, the time evolution is rephrased as a ground-state search of a classical Ising model. Such a problem is solved intrinsically in parallel by quantum computers. The main idea is exemplified by simulating the Rabi oscillations generated by a two-level quantum system (i.e. qubit) experimentally.

摘要

近年来,涉及量子计算机的实验和混合模拟出现了前所未有的增长。特别是量子退火器。有大量算法有望在不久的将来超越经典计算机。在此,我们提出一种并行时间方法来模拟旨在在当今量子退火器上执行的动力学系统。本质上,求解动力学系统的纯经典方法是串行的。因此,它们的并行化受到很大限制。然而,在本文提出的方法中,时间演化被重新表述为经典伊辛模型的基态搜索。这样的问题由量子计算机本质上并行地解决。主要思想通过实验模拟由二能级量子系统(即量子比特)产生的拉比振荡来举例说明。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3cd3/7421488/e1d979f48918/41598_2020_70017_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3cd3/7421488/d114d11aabdf/41598_2020_70017_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3cd3/7421488/e1d979f48918/41598_2020_70017_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3cd3/7421488/d114d11aabdf/41598_2020_70017_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3cd3/7421488/e1d979f48918/41598_2020_70017_Fig2_HTML.jpg

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本文引用的文献

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Quantum annealing for systems of polynomial equations.多项式方程组的量子退火
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Large-Scale Photonic Ising Machine by Spatial Light Modulation.基于空间光调制的大规模光子伊辛机
Phys Rev Lett. 2019 May 31;122(21):213902. doi: 10.1103/PhysRevLett.122.213902.
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Experimental investigation of performance differences between coherent Ising machines and a quantum annealer.相干伊辛机与量子退火器性能差异的实验研究
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Science. 2016 Nov 4;354(6312):603-606. doi: 10.1126/science.aah4243. Epub 2016 Oct 20.