更快的量子算法对多个可观测的估计估计
Yuki Koizumi1, Kaito Wada2, Wataru Mizukami3,4
1The University of Tokyo, Department of Applied Physics, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan.
Physical review letters
|March 13, 2026
概括
本研究引入了自适应量子梯度估计 (QGE) 算法,以更快地估计量子多体系统属性. 这些方法为费米离子系统提供了显著的加速,改善了实际的量子计算应用.
科学领域:
- 量子计算是一种量子计算.
- 量子多体系统是一个量子多体系统.
- 量子信息科学 量子信息科学
背景情况:
- 估计量子多体系统的集体性质对于量子计算至关重要.
- 量子梯度估计 (QGE) 算法提供了理论上的优势,但实际的好处尚不清楚.
- 费米子系统在量子属性估计中提出了独特的挑战.
研究的目的:
- 开发一个通用的适应性QGE框架,以高效地估计费米子系统属性.
- 提出新的QGE变体,实现实用的量子算法最小成本.
- 为了证明费米子部分断层扫描中的二次加速度.
主要方法:
- 通用自适应量子梯度估计 (QGE) 框架.
- 两个新的QGE变体:一个利用目标状态对称性,另一个使用单射平行方案.
- 数字模拟用于估计2体费米离子减少密度矩阵.
主要成果:
- 拟议的自适应QGE变体在现有量子算法中为费米子系统提供了最小的成本.
- 与先前的QGE算法相比,在费米子部分断层扫描中实现了二次加速度.
- 对于估计低密度矩阵的查询数量有显著的改进 (FeMo辅因子的4.4x,200位Fermi-Hubbard模型的7.8x).
结论:
- 拟议的自适应QGE方法为估计费米离子系统的集体性质提供了实际优势.
- 这些算法提高了复杂量子系统的量子计算的效率和适用性.
- 取得的显著加快速度为更复杂的量子模拟和计算铺平了道路.
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