施罗丁格-海森堡变量量子算法
Zhong-Xia Shang1,2,3, Ming-Cheng Chen1,2,3, Xiao Yuan4,5
1Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.
Physical review letters
|August 25, 2023
概括
我们介绍了施罗丁格-海森堡变量量子算法 (SHVQA),以克服当前量子计算的局限性. SHVQA使用浅电路实现了精确的量子模拟和计算,提高了近期量子设备的性能.
科学领域:
- 量子计算是一种量子计算.
- 计算物理 计算物理
- 量子化学 是一个量子化学.
背景情况:
- 中级量子计算 (几十到几百个量子比特) 显示出化学和物理中复杂问题的前景.
- 量子优势的高精度要求受到门不忠度 (0.1%-1%) 和限制电路深度的限制.
- 由于电路深度的限制,当前的变量量子算法 (VQA) 难以探索复杂的量子状态.
研究的目的:
- 提出一个新的范式,施罗丁格-海森堡变量量子算法 (SHVQA),以解决当前VQA的局限性.
- 为了能够有效地测量需要使用浅水电路进行深度电路的状态的预期值.
- 为了提高近期量子硬件上的量子计算的表达性和准确性.
主要方法:
- 通过将虚拟的海森堡电路与真实浅的施罗丁格电路集成来实现SHVQA.
- 使用克利福德虚拟电路来高效地处理汉密尔顿效应的经典处理.
- 利用虚拟电路来扩大状态表达力并实现更大的单元设计.
主要成果:
- 与传统方法相比,SHVQA允许使用较浅的电路高效地测量预期值.
- 数字实验表明,对于像XXZ这样的模型,随机状态和高保真度解决方案的近似度得到了改进.
- 对小分子的电子结构哈密尔顿的精确量子模拟得到了实现.
结论:
- SHVQA显著提高了量子计算的准确性和能力,克服了门不忠所施加的深度限制.
- 拟议的方法可以实现与更深的电路或使用当前硬件更准确的操作可比的结果.
- SHVQA与量子误差缓解相结合,为近期设备的精确量子计算提供了可行的途径.
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