幺正耦合簇矩阵因式分解形式的灵活性
Flexibility of the factorized form of the unitary coupled cluster ansatz
摘要：
幺正耦合团簇模型的因式分解形式是量子计算机上分子电子结构计算中常用的态制备模型。它通常被看作是一个近似（基于特罗特乘积公式）的传统酉耦合集群运营商。在这项工作中，我们表明，因式分解的形式是相当灵活的，允许一个范围从传统的配置相互作用，传统的酉耦合集群，有效的近似，位于这两者之间。能量的变分最小化通常允许更简单的因式分解酉耦合簇近似实现高精度，即使它们不精确地近似Trotter乘积公式。这类似于量子近似优化算法如何以少量的水平实现高精度。
英文摘要：
The factorized form of the unitary coupled cluster ansatz is a popular state preparation ansatz for electronic structure calculations of molecules on quantum computers. It often is viewed as an approximation (based on the Trotter product formula) for the conventional unitary coupled cluster operator. In this work, we show that the factorized form is quite flexible, allowing one to range from conventional configuration interaction, to conventional unitary coupled cluster, to efficient approximations that lie in between these two. The variational minimization of the energy often allows simpler factorized unitary coupled cluster approximations to achieve high accuracy, even if they do not accurately approximate the Trotter product formula. This is similar to how quantum approximate optimization algorithms can achieve high accuracy with a small number of levels.
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