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arXiv 2109.12652physics.chem-phquant-ph
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酉选择耦合簇方法

Unitary Selective Coupled-Cluster Method

Dmitry A. Fedorov, Yuri Alexeev, Stephen K. Gray, Matthew Otten

摘要:

使用变分量子本征求解器方法模拟分子是NISQ时代量子计算机的有前途的应用之一。设计一个有效的模拟器来表示电子波函数在这样的模拟中是至关重要的。标准酉单双耦合团簇(UCCSD)中存在大量不显著的项,这些项并不会降低系统的能量。在这项工作中,我们提出了一个单一的选择性耦合集群方法,一种方法来构建一个单一的耦合集群ananimals迭代使用的选择程序与激发高达四阶。这种方法使用电子哈密顿矩阵元素和振幅的激励已经存在于Anonymous找到重要的高阶激励,并将它们添加到Anonymous。该方法的重要特点是,它系统地减少了一组测试分子的能量误差与增加的测量尺寸。所提出的方法的主要优点是,增加测量的努力不需要在量子计算机上进行任何额外的测量。

英文摘要:

Simulating molecules using the Variational Quantum Eigensolver method is one of the promising applications for NISQ-era quantum computers. Designing an efficient ansatz to represent the electronic wave function is crucial in such simulations. Standard unitary coupled-cluster with singles and doubles (UCCSD) ansatz tends to have a large number of insignificant terms that do not lower the energy of the system. In this work, we present a unitary selective coupled-cluster method, a way to construct a unitary coupled-cluster ansatz iteratively using a selection procedure with excitations up to fourth order. This approach uses the electronic Hamiltonian matrix elements and the amplitudes for excitations already present in the ansatz to find the important excitations of higher order and to add them to the ansatz. The important feature of the method is that it systematically reduces the energy error with increasing ansatz size for a set of test molecules. The main advantage of the proposed method is that the effort to increase the ansatz does not require any additional measurements on a quantum computer.

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