一个电路生成的量子子空间算法,用于变量量子自溶解器
Mark R Hirsbrunner1,2, J Wayne Mullinax3,4, Yizhi Shen5
1Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.
The Journal of chemical physics
|October 22, 2024
概括
我们介绍了电路子空间变量量子自溶解器 (CSVQE) 算法,以改进基本状态能量计算. 在量子化学问题上,CSVQE提高了准确性和融合率,超过了传统的变量量子自溶解器 (VQE).
科学领域:
- 量子计算是一种量子计算.
- 计算化学的计算化学
- 量子算法 量子算法 量子算法
背景情况:
- 波函数在实时和想象时间的演变产生了量子子空间,用于准确地确定基本状态能量.
- 变量量子自溶解器 (VQE) 是一个著名的算法,用于在量子计算机上找到基态能量.
- 传统的VQE可以与收和局部最小值作斗争,限制准确性.
研究的目的:
- 提出一种新的算法,电路子空间变量量子自溶解器 (CSVQE),通过将量子子空间技术与VQE集成.
- 提高量子化学中基态能量计算的准确性和趋同率.
- 开发一种能够缓解与VQE优化场景中局部最小值相关的问题的方法.
主要方法:
- 将一个参数化的量子电路划分成更小的,顺序的子电路.
- 通过这些子电路的顺序应用到初始状态来生成量子子空间.
- 在VQE框架中利用生成的量子子空间来计算基态能量.
主要成果:
- 与传统VQE相比,CSVQE实现了显著的错误减少,特别是对于优化不良的电路.
- 该算法在各种量子化学问题上显示了大大提高的融合率.
- 在被困在局部最小值的电路中,CSVQE成功地识别了接近全球最小值的能量.
结论:
- 电路子空间变量量子自溶解器 (CSVQE) 算法为VQE提供了强大的增强功能,用于准确的基态能量计算.
- 在量子计算化学中,CSVQE在改善融合和克服局部最小值挑战方面表现特别有前途.
- 这种技术在量子优化问题中为诊断和潜在地逃避局部最小值提供了有价值的工具.
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