几何受阻磁体量子模拟中的尺度优势
量子物理
2021-02-23 v1 统计力学
新兴技术
摘要
量子计算的前景在于利用可编程量子器件实现实际应用，例如对量子材料与凝聚态系统的有效模拟。一项重要任务是模拟几何受阻磁体，其中拓扑现象可源于量子涨落与热涨落之间的竞争而涌现。在此，我们报告在此类模拟中观测到的弛豫实验，以高达1440个量子比特、微秒分辨率测得。通过将系统初始化于具有拓扑阻碍的状态，我们观测到超过一微秒的量子退火（QA）弛豫时间尺度。测量表明，在量子模拟中相较路径积分蒙特卡洛（PIMC）固定哈密顿量弛豫配合多量子比特团簇更新的经典方法具有动力学优势。该优势随系统规模与逆温度增加而增强，相较CPU实现超过百万倍加速。这是一项重要实验证据，表明一般而言，对于stoquastic哈密顿量，PIMC并不模拟QA动力学。所观测到的用于量子凝聚态中受阻磁性模拟的尺度优势，证明了近 term 量子器件可用于加速具有实际意义的计算任务。
引用
@article{arxiv.1911.03446,
title = {Scaling advantage in quantum simulation of geometrically frustrated magnets},
author = {Andrew D. King and Jack Raymond and Trevor Lanting and Sergei V. Isakov and Masoud Mohseni and Gabriel Poulin-Lamarre and Sara Ejtemaee and William Bernoudy and Isil Ozfidan and Anatoly Yu. Smirnov and Mauricio Reis and Fabio Altomare and Michael Babcock and Catia Baron and Andrew J. Berkley and Kelly Boothby and Paul I. Bunyk and Holly Christiani and Colin Enderud and Bram Evert and Richard Harris and Emile Hoskinson and Shuiyuan Huang and Kais Jooya and Ali Khodabandelou and Nicolas Ladizinsky and Ryan Li and P. Aaron Lott and Allison J. R. MacDonald and Danica Marsden and Gaelen Marsden and Teresa Medina and Reza Molavi and Richard Neufeld and Mana Norouzpour and Travis Oh and Igor Pavlov and Ilya Perminov and Thomas Prescott and Chris Rich and Yuki Sato and Benjamin Sheldan and George Sterling and Loren J. Swenson and Nicholas Tsai and Mark H. Volkmann and Jed D. Whittaker and Warren Wilkinson and Jason Yao and Hartmut Neven and Jeremy P. Hilton and Eric Ladizinsky and Mark W. Johnson and Mohammad H. Amin},
journal= {arXiv preprint arXiv:1911.03446},
year = {2021}
}
备注
7 pages, 4 figures, 22 pages of supplemental material with 18 figures