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Quantum Theory from First Principles: An Informational Approach

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Quantum theory is the soul of theoretical physics. It is not just a theory of specific physical systems, but rather a new framework with universal applicability. This book shows how we can reconstruct the theory from six information-theoretical principles, by rebuilding the quantum rules from the bottom up. Step by step, the reader will learn how to master the counterintuitive aspects of the quantum world, and how to efficiently reconstruct quantum information protocols from first principles. Using intuitive graphical notation to represent equations, and with shorter and more efficient derivations, the theory can be understood and assimilated with exceptional ease. Offering a radically new perspective on the field, the book contains an efficient course of quantum theory and quantum information for undergraduates. It is aimed at researchers, professionals, and students in physics, computer science and philosophy, as well as the curious outsider seeking a deeper understanding of the theory.

Building quantum rules from basic principles provides a deeper, more intuitive, understanding of quantum theory and quantum information

Graphical notation to represent equations offers a new, more accessible approach to the subject

Shorter and more efficient derivations allow readers to gain an in-depth understanding of the subject much earlier in the learning process

Author: D'Ariano Giacomo Mauro
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pages: 360
ISBN: 9781108714419
Cover: Paperback
Edition Number: 1
Release Year: 2019

Preface

Acknowledgments
1. Introduction
Part I. The Status Quo:
2. Quantum theory from Hilbert-spaces
Part II. The Informational Approach:
3. The framework
4. The new principles
5. Causal theories
6. Theories with local discriminability
7. The purification principle
Part III. Quantum Information without Hilbert Spaces:
8. Encoding information
9. Three no-go theorems
10. Perfectly discriminable states
11. Identifying pure states
12. Diagonalization
Part IV. Quantum Theory from the Principles:
13. Conclusive teleportation
14. The qubit
15. Projections
16. The superposition principle
17. Derivation of quantum theory
References

Index.

Giacomo Mauro D'Ariano is a Professor at Universita degli Studi di Pavia, Italy, where he teaches quantum mechanics and foundations of quantum theory, and leads the Quantum Information Theory (QUIT) group.

Giulio Chiribella is Associate Professor in the Department of Computer Science at The University of Hong Kong.In 2010, he was awarded the Hermann Weyl Prize for applications of group theory in quantum information.

Paolo Perinotti is Assistant Professor at Universita degli Studi di Pavia, Italy, where he teaches quantum information theory. In 2016 he was awarded the Birkhoff-von Neumann Prize for research in quantum foundations.

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