一个普遍的变量量子自溶解器,用于非赫米特系统
Huanfeng Zhao1, Peng Zhang2, Tzu-Chieh Wei3
1Department of Electrical and Computer Engineering, Stony Brook University, Stony Brook, 11794, USA.
Scientific reports
|December 15, 2023
概括
这项研究介绍了非赫米特矩阵的变量量子通用Eigensolver (VQUE),对于电力系统至关重要. VQUE是这个问题的第一个通用量子算法,在真实量子硬件上得到了验证.
科学领域:
- 量子计算是一种量子计算.
- 线性代数的线性代数
- 动力系统分析分析 动力系统分析
背景情况:
- 量子算法主要针对赫米特矩阵.
- 非赫米特矩阵的自身分析对当前的量子方法来说是具有挑战性的,因为它具有非单元的自身向量.
- 现代电力系统中的应用需要高效的非赫米特矩阵自分析.
研究的目的:
- 开发一种实用的量子算法,用于非赫米特矩阵的自身分析.
- 为了使量子计算能够应用于诸如电力系统等领域的问题.
- 创建一个通用的eigensolver,可以部署在杂的中级量子计算机 (NISQ).
主要方法:
- 介绍了变量量子通用Eigensolver (VQUE),这是一个通用的变量量子算法.
- 利用舒尔的三角化理论,将非赫密斯固有值问题转化为对单元矩阵的搜索.
- 开发了一种量子过程快照技术,以保持量子优势并高效地测试三角性.
主要成果:
- VQUE是第一个用于非赫米特矩阵固有值的通用变量量子算法.
- 该算法在真正的杂量子计算机上成功部署和验证,证明了可行性.
- 参数研究证实了VQUE在现实场景中的可扩展性,通用性和性能.
结论:
- VQUE为非赫米特矩阵的自身分析提供了一种可行的量子方法.
- 该算法弥合了量子方法和涉及非赫米特矩阵的实际应用之间的差距.
- 成功的硬件实现为复杂系统分析中的量子优势铺平了道路.
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