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Picturing Quantum Processes

2017-03-16 Science
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Release : 2017-03-16
Genre : Science
Kind : eBook
Book Rating : 710/5 ( reviews)

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Book Synopsis Picturing Quantum Processes by : Bob Coecke

Download or read book Picturing Quantum Processes written by Bob Coecke. This book was released on 2017-03-16. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Picturing Quantum Processes

2017-03-16 Computers
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Release : 2017-03-16
Genre : Computers
Kind : eBook
Book Rating : 22X/5 ( reviews)

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Book Synopsis Picturing Quantum Processes by : Bob Coecke

Download or read book Picturing Quantum Processes written by Bob Coecke. This book was released on 2017-03-16. Available in PDF, EPUB and Kindle. Book excerpt: Quantum phenomena are explained through the language of diagrams, setting out an innovative visual method of presenting complex scientific theories. Focusing on physical intuition over mathematical formalism, and packed with exercises, this unique book is accessible to students and researchers across scientific disciplines, from undergraduate to Ph.D. level.

New Structures for Physics

2011-01-15 Science
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Release : 2011-01-15
Genre : Science
Kind : eBook
Book Rating : 211/5 ( reviews)

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Book Synopsis New Structures for Physics by : Bob Coecke

Download or read book New Structures for Physics written by Bob Coecke. This book was released on 2011-01-15. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.

Quantum Theory from First Principles

2017-01-28 Science
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Release : 2017-01-28
Genre : Science
Kind : eBook
Book Rating : 425/5 ( reviews)

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Book Synopsis Quantum Theory from First Principles by : Giacomo Mauro D'Ariano

Download or read book Quantum Theory from First Principles written by Giacomo Mauro D'Ariano. This book was released on 2017-01-28. Available in PDF, EPUB and Kindle. Book excerpt: A new presentation of quantum theory and quantum information based on fundamental principles, for anyone seeking a deeper understanding of the subject.

Categories for Quantum Theory

2019-11-14 Mathematics
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Release : 2019-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 062/5 ( reviews)

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Book Synopsis Categories for Quantum Theory by : Chris Heunen

Download or read book Categories for Quantum Theory written by Chris Heunen. This book was released on 2019-11-14. Available in PDF, EPUB and Kindle. Book excerpt: Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition, and a conceptual way to understand many high-level quantum phenomena. This text lays the foundation for this categorical quantum mechanics, with an emphasis on the graphical calculus which makes computation intuitive. Biproducts and dual objects are introduced and used to model superposition and entanglement, with quantum teleportation studied abstractly using these structures. Monoids, Frobenius structures and Hopf algebras are described, and it is shown how they can be used to model classical information and complementary observables. The CP construction, a categorical tool to describe probabilistic quantum systems, is also investigated. The last chapter introduces higher categories, surface diagrams and 2-Hilbert spaces, and shows how the language of duality in monoidal 2-categories can be used to reason about quantum protocols, including quantum teleportation and dense coding. Prior knowledge of linear algebra, quantum information or category theory would give an ideal background for studying this text, but it is not assumed, with essential background material given in a self-contained introductory chapter. Throughout the text links with many other areas are highlighted, such as representation theory, topology, quantum algebra, knot theory, and probability theory, and nonstandard models are presented, such as sets and relations. All results are stated rigorously, and full proofs are given as far as possible, making this book an invaluable reference for modern techniques in quantum logic, with much of the material not available in any other textbook.

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