为自身状态问题设计高精度和低深度量子算法
Jinzhao Sun1,2,3, Pei Zeng4, Tom Gur2
1Blackett Laboratory, Imperial College London, London SW7 2AZ, UK.
Science advances
|January 16, 2026
概括
这项研究引入了一种新的量子算法,用于精确估计量子系统属性. 该算法证明了高效的扩展和稳定性,即使在当前的量子硬件上也是如此.
科学领域:
- 量子计算是一种量子计算.
- 量子算法 量子算法 量子算法
- 计算物理 计算物理
背景情况:
- 估计量子系统固态属性是古典和量子计算的重大挑战.
- 现有的通用量子算法通常依赖于理想化的模型,这些模型对于实际的量子电路实现来说是次优的.
研究的目的:
- 介绍一个全量子算法设计,用于准确的自身能量和自身状态属性估计.
- 为了在量子模拟中实现高精度和有利的缩放与系统大小.
主要方法:
- 开发了一种量子算法,对通用哈密尔顿数的门复杂度为O{\displaystyle O{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text}{\text{\text{\text{\text{\text}{\text{\text{\text{\text{\text}{\text{\text{\text{\text{\text}{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text{\text}}}{\text{\text{\text{\text{\text}}}).
- 设计了用于格子哈密尔顿数的近最佳系统大小缩放的电路,以适应本地量子位连接.
- 在IBM量子设备上实现了算法,利用了多达2000个双量子比特和20,000个单量子比特门.
主要成果:
- 在真实量子硬件上实现了对海森伯格型哈密尔顿的高精度自身能量估计.
- 在通用的哈密尔顿模拟中,证明了对门复杂度的逆精度 (ε) 的对数依赖.
- 展示了用于格子和分子问题的电路编译中的噪声稳定性和低开销.
结论:
- 提出的全量子算法为估计量子系统属性提供了一种实用和高效的方法.
- 该算法的性能在IBM量子设备上验证了其在解决复杂量子问题的潜力,并提高了准确性和可扩展性.
- 这项工作推进了量子算法在科学发现中的实际应用.
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