量子计算机上的赫克尔分子轨道理论:一个可扩展的系统不可知变量实现,具有紧的编码
Harshdeep Singh1, Sonjoy Majumder2, Sabyashachi Mishra3
1Center of Computational and Data Sciences, Indian Institute of Technology, Kharagpur, India.
The Journal of chemical physics
|May 20, 2024
概括
量子计算机现在可以使用Hückel分子轨道 (HMO) 理论来模拟合的π电子系统. 一个新的变量量子通缩 (VQD) 算法为激发状态量子模拟提供了一种有效的方法.
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.
- 理论化学是一种理论化学.
背景情况:
- 赫克尔分子轨道 (HMO) 理论是分析合的π电子系统的一种半经验方法.
- 模拟这些系统的兴奋状态对经典计算机来说是计算要求很高的.
研究的目的:
- 为HMO理论开发一种可扩展和无系统的量子计算方法.
- 为了实现对联π电子系统的高效激发状态量子模拟.
主要方法:
- 在量子计算机上使用变量量子通缩 (VQD) 算法实现赫克尔分子轨道 (HMO) 理论.
- 开发一个紧的编码方案,用于量子模拟中的指数优势.
- 使用代精制和基于Frobenius内部产品的转换来进行哈密尔顿映射.
- 制定一个利用对称性的VQD变体,以减轻错误积累.
主要成果:
- 量子模拟HMO模型,用于最多2n个结合中心的系统,使用n个量子比特.
- 量子模拟结果 (能量水平,波函数) 与精确的经典结果之间非常一致.
- 使用六个量子比特成功演示了C60富勒的量子模拟.
- 在大型系统的高兴状态中识别并解决了错误积累.
结论:
- 开发的量子算法为模拟合的π电子系统提供了强大的工具.
- 紧的编码和VQD变体为量子模拟提供了可扩展性和更高的准确性.
- 该方法可适应各种研究领域的多样化和复杂问题.
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