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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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量子克里洛夫子空间诊断的分子特性

Oumarou Oumarou1, Pauline J Ollitrault2,3, Cristian L Cortes2,3

  • 1Covestro Deutschland AG, Leverkusen, Nordrhein-Westfalen 51373, Germany.

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PubMed
概括
此摘要是机器生成的。

本研究介绍了有效计算超越基态的量子系统属性的方法. 它降低了量子克里洛夫方法的测量成本,使更广泛的量子模拟成为可能.

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科学领域:

  • 量子计算是一种量子计算.
  • 量子化学是一种量子化学.
  • 计算物理学的计算物理.

背景情况:

  • 量子克里洛夫子空间对角化是量子模拟的关键.
  • 目前的方法主要集中在地面状态能量上,限制了更广泛的应用.

研究的目的:

  • 扩展量子克里洛夫方法来计算激发状态和分子性质.
  • 为了减少测量复杂性,以获得低密度矩阵.

主要方法:

  • 量子克里洛夫方法的分析第一阶导数的导出.
  • 量子信号处理的应用,以有效地准备克里洛夫特征状态.
  • 开发用于减少密度矩阵的恒定缩放测量方案.

主要成果:

  • 成功推导了Krylov固态的放松的1个和2个粒子减小密度矩阵.
  • 在Krylov维度D方面,测量缩放从二级到常数的减少已被证明.
  • 通过计算分子核梯度来验证方法.

结论:

  • 开发的方法显著提高了量子克里洛夫模拟的效率.
  • 这项工作为分子和多体系统的更全面的量子模拟铺平了道路.