The exploration of quantum arithmetic circuits is not only interesting but also challenging. In our current research stage, the primary aim of this book is to enhance the performance of quantum arithmetic circuits by integrating classical design techniques, bringing improved efficiency and scalability to quantum computing. Additionally, it includes mapping these designs onto real quantum hardware and exploring potential applications across diverse fields. Over the past few decades, quantum computing has witnessed substantial progress, providing a foundational platform for our present research. Here, we sincerely acknowledge the invaluable contributions of the previous researchers in this field, who provided us with so many important insights and inspiration for our ongoing research.