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Picturing Quantum Processes

Details

  • 2435 b/w illus. 168 exercises
  • Page extent: 0 pages

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 (ISBN-13: 9781108110440)

The unique features of the quantum world are explained in this book through the language of diagrams, setting out an innovative visual method for presenting complex theories. Requiring only basic mathematical literacy, this book employs a unique formalism that builds an intuitive understanding of quantum features while eliminating the need for complex calculations. This entirely diagrammatic presentation of quantum theory represents the culmination of ten years of research, uniting classical techniques in linear algebra and Hilbert spaces with cutting-edge developments in quantum computation and foundations. Written in an entertaining and user-friendly style and including more than one hundred exercises, this book is an ideal first course in quantum theory, foundations, and computation for students from undergraduate to PhD level, as well as an opportunity for researchers from a broad range of fields, from physics to biology, linguistics, and cognitive science, to discover a new set of tools for studying processes and interaction.

• The first book of its kind in the field, the pedagogical focus allows students and researchers to master the techniques of diagrammatic reasoning • Heavily illustrated with diagrams and cartoons, the informal style and practical focus opens up the topic of quantum theory to a wider audience • Includes over one hundred exercises and worked examples, allowing students to practise the skills they are learning and gain confidence

Contents

Preface; 1. Introduction; 2. Guide to reading this textbook; 3. Processes as diagrams; 4. String diagrams; 5. Hilbert space from diagrams; 6. Quantum processes; 7. Quantum measurement; 8. Picturing classical-quantum processes; 9. Picturing phases and complementarity; 10. Quantum theory: the full picture; 11. Quantum foundations; 12. Quantum computation; 13. Quantum resources; 14. Quantomatic; Appendix A. Some notations; References; Index.

Reviews

'Picturing Quantum Processes is a lively and refreshing romp through the authors diagrammatic and categorical approach to quantum processes. I recommend this book with no lower age limit required!' Louis Kauffman, University of Illinois

'This book develops from scratch the category theoretic, and diagrammatic, language for quantum theory, especially quantum processes. It is a remarkable achievement: vigorous, crystal-clear, complete - and a delight to read.' Jeremy Butterfield, University of Cambridge

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