在NISQ设备上模拟罗克萨-基维尔森梯子
Sabhyata Gupta1, Younes Javanmard2, Tobias J Osborne3
1Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstr. 2, 30167, Hannover, Germany. sabhyata.gupta@itp.uni-hannover.de.
Scientific reports
|November 25, 2024
概括
我们开发了一种量子经典算法,用于模拟杂的量子设备上的罗克萨尔-基维尔森血小板梯. 对称性显著降低了复杂性,使得当前量子硬件上更大系统的高效模拟成为可能.
科学领域:
- 量子计算是一种量子计算.
- 凝聚物质物理学 凝聚物质物理学
- 量子模拟的量子模拟
背景情况:
- 罗克萨-基维尔森模型描述了在晶格上相互作用的量子系统.
- 在杂的中等尺度量子 (NISQ) 设备上模拟复杂的量子动力学是具有挑战性的.
- 需要高效的算法来利用NISQ硬件来研究量子模型.
研究的目的:
- 开发和演示一个量子经典算法来模拟罗克萨尔-基维尔森斑块梯级动态.
- 探索在NISQ设备上的量子模拟中减少计算复杂性的方法.
- 评估使用当前量子硬件模拟相当大的斑块梯子的可行性.
主要方法:
- 采用了混合量子-经典方法.
- 使用尺寸不变性和额外的对称性来减少复杂性.
- 在梯子几何学中利用了斑块阻断对环交换的特性.
- 在IBM-Q机器上使用缩放量子门进行了模拟.
主要成果:
- 该算法显著降低了模拟板块梯子动态的复杂性.
- 在NISQ设备上实现了高达8个血小板的高效模拟.
- 该方法非常适合当前NISQ设备的功能.
- 演示了算法在真实量子硬件上的实际应用.
结论:
- 开发的量子经典算法为研究罗克萨尔-基维尔森斑块梯子提供了一条有效的途径.
- 对称性在使NISQ设备上能够模拟更大的系统方面发挥着至关重要的作用.
- 这项工作为近期量子计算机上更复杂的量子模拟铺平了道路.
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