量子多体线性代数,哈密尔顿时刻,以及一个合集群启发了框架
Yuhang Ai1, Huanchen Zhai1, Johannes Tölle1
1Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA.
The Journal of chemical physics
|July 7, 2025
概括
我们为线性代数开发了一种新的量子多体近似策略. 这种方法受到合集群理论的启发,为量子算法提供了一条超出扰乱理论的新途径.
科学领域:
- 量子计算是一种量子计算.
- 计算化学是一种计算化学.
- 线性代数的线性代数.
背景情况:
- 为线性代数开发高效的量子算法对于科学发现至关重要.
- 目前的方法通常依赖于扰动理论,但它有局限性.
- 量子多体近似为改进提供了一个潜在的途径.
研究的目的:
- 为线性代数原体创建量子多体近似的一般策略提出建议.
- 为了介绍一个结合集群启发的框架,用于大致的哈密尔顿时刻.
- 为了证明这个框架在地面状态估计算法中的应用.
主要方法:
- 开发量子多体近似的一般策略.
- 实施结合集群启发的框架来计算近似的哈密尔顿时刻.
- 将这些近似应用到线性代数算法,用于基态估计.
主要成果:
- 结合集群启发的框架成功地产生了近似的哈密尔顿时刻.
- 数字示例显示了与多体扰动理论相比,基本状态能量的差异.
- 该策略为量子算法提供了扰乱理论的可行替代方案.
结论:
- 超出扰乱理论的量子多体近似是可行的.
- 这项工作为设计先进的量子算法提供了新的途径.
- 拟议的策略可以提高量子线性代数计算的效率和准确性.
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