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This book presents the mathematics of quantum computation. The purpose is to introduce the topic of quantum computing to students in computer science, physics and mathematics who have no prior knowledge of this field. The book is written in two parts. The primary mathematical topics required for an initial understanding of quantum computation are dealt with in Part I: sets, functions, complex numbers and other relevant mathematical structures from linear and abstract algebra. Topics are illustrated with examples focussing on the quantum computational aspects which will follow in more detail in Part II. Part II discusses quantum information, quantum measurement, and quantum algorithms. These topics provide foundations upon which more advanced topics may be approached with confidence. Features: A more accessible approach than most competitor texts, which move into advanced, research-level topics too quickly for today's students. Part I is comprehensive in providing all necessary mathematical underpinning, particularly for those who need more opportunity to develop their mathematical competence. More confident students may move directly to Part II and dip back into Part I as a reference. Ideal for use as an introductory text for courses in quantum computing. Fully worked examples illustrate the application of mathematical techniques. Exercises throughout develop concepts and enhance understanding. End-of-chapter exercises offer more practice in developing a secure foundation.
This book introduces the fundamental mathematics required to understand quantum computation. Aimed at students with no prior knowledge in computer science, physics, or mathematics, it is structured in two parts. Part I covers essential mathematical topics such as sets, functions, complex numbers, and algebraic structures, illustrated with examples relevant to quantum computation. Part II delves into quantum information, measurement, and algorithms, building a foundation for advanced study.
The book is designed to be more accessible than many competitor texts that quickly advance to research-level topics. Its comprehensive Part I ensures students have the necessary mathematical background, particularly those who may require more time to build their mathematical skills. Students with stronger backgrounds can use Part I as a reference. It is presented as an ideal introductory text for quantum computing courses.
Page Count:
371
Publication Date:
2023-01-01
Publisher:
CRC Press, Taylor & Francis Group
ISBN-10:
1003264565
ISBN-13:
9781003264569
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