Picturing Quantum Processes

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Picturing Quantum Processes

Author : Bob Coecke
Publisher : Cambridge University Press
ISBN 13 : 1108107710
Total Pages : 847 pages
Book Rating : 4.1/5 (81 download)

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Book Synopsis Picturing Quantum Processes by : Bob Coecke

Download or read book Picturing Quantum Processes written by Bob Coecke and published by Cambridge University Press. This book was released on 2017-03-16 with total page 847 pages. 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

Author : Bob Coecke
Publisher : Cambridge University Press
ISBN 13 : 110710422X
Total Pages : 847 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Picturing Quantum Processes by : Bob Coecke

Quantum Mechanics Using Maple ®

Author : Marko Horbatsch
Publisher : Springer Science & Business Media
ISBN 13 : 3642795382
Total Pages : 343 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Quantum Mechanics Using Maple ® by : Marko Horbatsch

Download or read book Quantum Mechanics Using Maple ® written by Marko Horbatsch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Mechanics Using Maple permits the study of quantum mechanics in a novel, interactive way using the computer algebra and graphics system Maple V. Usually the physics student is distracted from understanding the concepts of modern physics by the need to master unfamiliar mathematics at the same time. In 39 guided Maple sessions the reader explores many standard quantum mechanics problems, as well as some advanced topics that introduce approximation techniques. A solid knowledge of Maple V is acquired as it applies to advanced mathematics relevant for engineering, physics, and applied mathematics. The diskette contains 39 Maple V for Windows worksheet files to reproduce all the problems presented in the text. The suggested exercises can be performed with a minimum of typing.

Categories for Quantum Theory

Author : Chris Heunen
Publisher : Oxford University Press
ISBN 13 : 0191060062
Total Pages : 320 pages
Book Rating : 4.1/5 (91 download)

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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 and published by Oxford University Press. This book was released on 2019-11-14 with total page 320 pages. 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.

Quantum Theory from First Principles

Author : Giacomo Mauro D'Ariano
Publisher : Cambridge University Press
ISBN 13 : 1107043425
Total Pages : 359 pages
Book Rating : 4.1/5 (7 download)

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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 and published by Cambridge University Press. This book was released on 2017-01-28 with total page 359 pages. 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.

Semantic Techniques in Quantum Computation

Author : Simon Gay
Publisher : Cambridge University Press
ISBN 13 : 052151374X
Total Pages : 497 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Semantic Techniques in Quantum Computation by : Simon Gay

Download or read book Semantic Techniques in Quantum Computation written by Simon Gay and published by Cambridge University Press. This book was released on 2010 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores quantum computation from the perspective of the branch of theoretical computer science known as semantics.

The Mathematical Language of Quantum Theory

Author : Teiko Heinosaari
Publisher : Cambridge University Press
ISBN 13 : 1139503995
Total Pages : 340 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis The Mathematical Language of Quantum Theory by : Teiko Heinosaari

Download or read book The Mathematical Language of Quantum Theory written by Teiko Heinosaari and published by Cambridge University Press. This book was released on 2011-12-15 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: For almost every student of physics, the first course on quantum theory raises a lot of puzzling questions and creates a very uncertain picture of the quantum world. This book presents a clear and detailed exposition of the fundamental concepts of quantum theory: states, effects, observables, channels and instruments. It introduces several up-to-date topics, such as state discrimination, quantum tomography, measurement disturbance and entanglement distillation. A separate chapter is devoted to quantum entanglement. The theory is illustrated with numerous examples, reflecting recent developments in the field. The treatment emphasises quantum information, though its general approach makes it a useful resource for graduate students and researchers in all subfields of quantum theory. Focusing on mathematically precise formulations, the book summarises the relevant mathematics.

Quantum Computer Science

Author : N. David Mermin
Publisher : Cambridge University Press
ISBN 13 : 1139466801
Total Pages : 236 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Quantum Computer Science by : N. David Mermin

Download or read book Quantum Computer Science written by N. David Mermin and published by Cambridge University Press. This book was released on 2007-08-30 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1990's it was realized that quantum physics has some spectacular applications in computer science. This book is a concise introduction to quantum computation, developing the basic elements of this new branch of computational theory without assuming any background in physics. It begins with an introduction to the quantum theory from a computer-science perspective. It illustrates the quantum-computational approach with several elementary examples of quantum speed-up, before moving to the major applications: Shor's factoring algorithm, Grover's search algorithm, and quantum error correction. The book is intended primarily for computer scientists who know nothing about quantum theory, but will also be of interest to physicists who want to learn the theory of quantum computation, and philosophers of science interested in quantum foundational issues. It evolved during six years of teaching the subject to undergraduates and graduate students in computer science, mathematics, engineering, and physics, at Cornell University.

Diagrammatic Representation and Inference

Author : Peter Chapman
Publisher : Springer
ISBN 13 : 331991376X
Total Pages : 831 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Diagrammatic Representation and Inference by : Peter Chapman

Download or read book Diagrammatic Representation and Inference written by Peter Chapman and published by Springer. This book was released on 2018-06-07 with total page 831 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on the Theory and Application of Diagrams, Diagrams 2018, held in Edinburgh, UK, in June 2018. The 26 revised full papers and 28 short papers presented together with 32 posters were carefully reviewed and selected from 124 submissions. The papers are organized in the following topical sections: generating and drawing Euler diagrams; diagrams in mathematics; diagram design, principles and classification; reasoning with diagrams; Euler and Venn diagrams; empirical studies and cognition; Peirce and existential graphs; and logic and diagrams.

Elementary Quantum Mechanics

Author : R. W Gurney
Publisher : Cambridge University Press
ISBN 13 : 1107586356
Total Pages : 173 pages
Book Rating : 4.1/5 (75 download)

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Book Synopsis Elementary Quantum Mechanics by : R. W Gurney

Download or read book Elementary Quantum Mechanics written by R. W Gurney and published by Cambridge University Press. This book was released on 1934 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1934, this reference guide provides introductory and principle knowledge of the theory of quantum mechanics.

New Foundations of Quantum Mechanics

Author : Alfred Lande
Publisher : Cambridge University Press
ISBN 13 : 1107593549
Total Pages : 185 pages
Book Rating : 4.1/5 (75 download)

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Book Synopsis New Foundations of Quantum Mechanics by : Alfred Lande

Download or read book New Foundations of Quantum Mechanics written by Alfred Lande and published by Cambridge University Press. This book was released on 2015-12-03 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1965, the aim of this book was to challenge the dualistic view of physics, that is, the assumption that beams of electrons consist of discrete particles and of waves. Lande argues that this dualistic view is unnecessary, not only on methodological grounds but also from the standpoint of physics. Lande sets out to point out that there are faults in the purely physical arguments, which have led to the dualistic doctrine and shows that by making use of the quantum rule for the exchange of linear momentum, established by W. Duane in 1923, wave-like phenomena can be fully explained on a unitary particle theory of matter. Chapters cover a variety of subjects and range from 'Dualism versus quantum mechanics' to the 'Origin of the quantum rules'. Appendices are included for reference. This book will be of value to students and scholars of the history of physics.

Picturing Quantum Processes

Author : Bob Coecke
Publisher :
ISBN 13 :
Total Pages : 868 pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis Picturing Quantum Processes by : Bob Coecke

Download or read book Picturing Quantum Processes written by Bob Coecke and published by . This book was released on 2017 with total page 868 pages. 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.

The Quantum Internet

Author : Peter P. Rohde
Publisher : Cambridge University Press
ISBN 13 : 1108491456
Total Pages : 363 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis The Quantum Internet by : Peter P. Rohde

Download or read book The Quantum Internet written by Peter P. Rohde and published by Cambridge University Press. This book was released on 2021-09-30 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: A highly interdisciplinary overview of the emerging topic of the Quantum Internet. Current and future quantum technologies are covered in detail, in addition to their global socio-economic impact. Written in an engaging style and accessible to graduate students in physics, engineering, computer science and mathematics.

An Invitation to Applied Category Theory

Author : Brendan Fong
Publisher : Cambridge University Press
ISBN 13 : 1108582249
Total Pages : 351 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis An Invitation to Applied Category Theory by : Brendan Fong

Download or read book An Invitation to Applied Category Theory written by Brendan Fong and published by Cambridge University Press. This book was released on 2019-07-18 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.

Categories, Allegories

Author : P.J. Freyd
Publisher : Elsevier
ISBN 13 : 0080887015
Total Pages : 315 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Categories, Allegories by : P.J. Freyd

Download or read book Categories, Allegories written by P.J. Freyd and published by Elsevier. This book was released on 1990-11-08 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: General concepts and methods that occur throughout mathematics – and now also in theoretical computer science – are the subject of this book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. The book should appeal to the inquisitive reader who has seen some basic topology and algebra and would like to learn and explore further. The first part contains a detailed treatment of the fundamentals of Geometric Logic, which combines four central ideas: natural transformations, sheaves, adjoint functors, and topoi. A special feature of the work is a general calculus of relations presented in the second part. This calculus offers another, often more amenable framework for concepts and methods discussed in part one. Some aspects of this approach find their origin in the relational calculi of Peirce and Schroeder from the last century, and in the 1940's in the work of Tarski and others on relational algebras. The representation theorems discussed are an original feature of this approach.

Quantum Theory and Symmetries

Author : M. B. Paranjape
Publisher : Springer Nature
ISBN 13 : 3030557774
Total Pages : 670 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Quantum Theory and Symmetries by : M. B. Paranjape

Download or read book Quantum Theory and Symmetries written by M. B. Paranjape and published by Springer Nature. This book was released on 2021 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .

QBism

Author : Hans Christian von Baeyer
Publisher : Harvard University Press
ISBN 13 : 0674545109
Total Pages : 240 pages
Book Rating : 4.6/5 (745 download)

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Book Synopsis QBism by : Hans Christian von Baeyer

Download or read book QBism written by Hans Christian von Baeyer and published by Harvard University Press. This book was released on 2016-10-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Short for Quantum Bayesianism, QBism adapts conventional features of quantum mechanics in light of a revised understanding of probability. Using commonsense language, without the equations or weirdness of conventional quantum theory, Hans Christian von Baeyer clarifies the meaning of quantum mechanics and suggests a new approach to general physics.