Variational Quantum Algorithms (VQAs) are expected to be promising algorithms
with quantum advantages that can be run at quantum computers in the close
future. In this work, we review simple rules in basic quantum circuits, and
propose a simplification method, Measurement Simplification, that simplifies
the expression for the measurement of quantum circuit. By the Measurement
Simplification, we simplified the specific result expression of VQAs and
obtained large improvements in calculation time and required memory size. Here
we applied Measurement Simplification to Variational Quantum Linear Solver
(VQLS), Variational Quantum Eigensolver (VQE) and other Quantum Machine
Learning Algorithms to show an example of speedup in the calculation time and
required memory size.

该研究综述了基本量子电路中的简单规则，并提出了一种简化方法，称为测量简化，它简化了量子电路测量的表达式。通过测量简化，我们简化了变分量子算法的特定结果表达式，并在计算时间和所需内存大小方面取得了大幅改进。在本研究中，我们将测量简化应用于变分量子线性求解器（VQLS）、变分量子本征求解器（VQE）和其他量子机器学习算法，以展示计算时间和所需内存大小的加速示例。