Essentials for Deeper Understanding of Quantum Computing

This textbook provides a self-contained basic tutorial to help readers confidently understand and comprehend the fundamental element of quantum computing, that is, the "quantum state (spin) represented by the Bloch sphere." The primary target audience includes readers from information technology or business fields who are entering the quantum computing domain without prior experience in physics courses. Additionally, the content is designed to be a valuable refresher for those already familiar with physics or those teaching quantum physics. This volume overcomes the difficulties of existing quantum computing tutorials by providing a solution that demonstrates how, given a semester's worth of time, readers with a high school level of mathematics can be introduced to the concept of spinors without any top-down explanations. Avoiding top-down explanations entirely, the book explains the necessary minimum mathematics and physics in a logically natural progression to help readers understand why we think in such ways. The focus is on understanding the interrelationships between theories—what knowledge is needed to understand what concepts. Everything extraneous to understanding the logical flow has been meticulously removed. The goal is to efficiently bring readers to a level where they can approach quantum computing without any background knowledge anxieties.

1 What is Unclear?.- 2 Essentials of Basic Mathematical Tools.- 3 Essentials of Electromagnetism.- 4 Key Points of Mechanics.- 5 Outlined introduction to Quantum Mechanics.- 6 Overview of Relativistic Theory.- 7 Field Transformations and Spin.-8 Quantum Annealing.- 9 Appendix.

Dr. Ryo Maezono (PhD/Applied Physics) is a Professor at Science Tokyo, working on Materials and Informatics. He got his BSc (1995) and PhD (2000) in Applied Physics at Tokyo University, majoring condensed matter theory working on the phase diagrams of magnetic oxides. He was a JSPS fellow (Tokyo University/1999-2000), working on the magnetic properties of oxides. He got a postdoctoral position at Cavendish Laboratory, Cambridge University (EPSRC fellow/2000-2002), and moved to NIMS (National Institute of Materials Science, Japan), as a tenure researcher (2001-2007). In 2007, he moved to JAIST and had organized a research group as a full Professor until 2025. From 2025, he moved to Science Tokyo as a management Professor in the division of Materials and Informatics. Since his postdoc in Cambridge, he has worked on Diffusion Monte Carlo (DMC) electronic structure calculations using massive parallel computations. He has published several DMC works using world top class huge parallel calculations, exploring cutting-edge of numerical quantum many-body problem. As an expert of DMC method, he has given several lectures on many-body problems at Osaka University, Kyushu University, Yokohama National University Kanazawa University etc., outside of JAIST. As a computer scientist, he has contributed also to the education of simulation science, which contents are published in his books (ISBN:978-4627818217, 978-4627170315, 978-9819909186, 978-4627170322). As a researcher of computational materials science, he leads several industrial collaborations with companies (Toyota-Motor/Sumitomo-Mining/Shin-Etsu Chemicals/Asahi grass Inc./Denso Inc./Morita Chemical Inc.), as well as those with experimental synthesis community in inorganic Chemistry.