Ab initio扩展了哈伯德短聚烯模型,用于高效的量子计算
Yuichiro Yoshida1, Nayuta Takemori1,2, Wataru Mizukami1,3
1Center for Quantum Information and Quantum Biology, Osaka University, 1-2 Machikaneyama, Toyonaka, Osaka 560-0043, Japan.
The Journal of chemical physics
|August 28, 2024
概括
我们开发了一种用于分子电子结构计算的新量子计算方法. 这种方法简化了复杂的哈密尔顿式,提高了量子化学的效率和可扩展性.
科学领域:
- 量子计算是一种量子计算.
- 计算化学计算化学
- 材料科学 材料科学 材料科学
背景情况:
- 准确的分子电子结构计算对于理解化学系统至关重要.
- 目前的量子计算方法由于复杂的哈密尔顿数而面临着可扩展性的挑战.
- Ab initio向下折叠是一种通常用于周期性材料的方法.
研究的目的:
- 适应初始下折方法,以实现分子电子结构的高效量子计算.
- 为了减少量子模拟的第一原则哈密尔顿的计算复杂性.
- 为了实现更可扩展的量子化学计算.
主要方法:
- 引入了一个通过ab initio向下折叠获得的扩展的哈密尔顿式.
- 通过消除高能电子自由度来粗化哈密尔顿的第一原则.
- 采用受约束的随机相近似方法进行集成的动态电子相关性.
- 将模型哈密尔顿式映射到费米子到量子比特表示.
主要成果:
- 将电子排斥积分项的数量从O(N4) 减少到O(N2).
- 验证了垂直激发能量的方法以及乙烯,丁烯和六烯的特征.
- 捕获的趋势与实验和高级量子化学计算一致.
- 对于映射的哈密尔顿人来说,表现出明显较低的L1规范,表明可扩展性得到改善.
结论:
- 最初扩展的哈密尔顿式显示了量子计算机上的量子化学计算的巨大潜力.
- 该方法为分子电子结构模拟提供了更好的可扩展性.
- 这种方法促进了复杂化学系统的高效量子计算.
相关概念视频
The Quantum-Mechanical Model of an Atom
42.1K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.1K
Hybridization of Atomic Orbitals I
46.7K
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...
46.7K
Hybridization of Atomic Orbitals II
31.9K
sp3d and sp3d 2 Hybridization
31.9K
Molecular Orbital Theory I
31.9K
Overview of Molecular Orbital Theory
31.9K
The Aufbau Principle and Hund's Rule
47.0K
To determine the electron configuration for any particular atom, we can build the structures in the order of atomic numbers. Beginning with hydrogen, and continuing across the periods of the periodic table, we add one proton at a time to the nucleus and one electron to the proper subshell until we have described the electron configurations of all the elements. This procedure is called the aufbau principle, from the German word aufbau (“to build up”). Each added electron occupies the...
47.0K
Structure of Benzene: Molecular Orbital Model
9.0K
According to the molecular orbital (MO) model, benzene has a planar structure with a regular hexagon of six sp2 hybridized carbons. As shown in Figure 1, each carbon is bonded to three other atoms with C–C–C and H–C–C bond angles of 120°. The C–H bond length is 109 pm, and the C–C bond length is 139 pm which is midway between the single bond length of sp3 hybridized carbons (154 pm) and sp2 hybridized carbons (133 pm).
9.0K


