Quantum Theory: Informational Foundations and Foils

Front Cover
Giulio Chiribella, Robert W. Spekkens
Springer, Dec 8, 2015 - Science - 528 pages

This book provides the first unified overview of the burgeoning research area at the interface between Quantum Foundations and Quantum Information. Topics include: operational alternatives to quantum theory, information-theoretic reconstructions of the quantum formalism, mathematical frameworks for operational theories, and device-independent features of the set of quantum correlations.

Powered by the injection of fresh ideas from the field of Quantum Information and Computation, the foundations of Quantum Mechanics are in the midst of a renaissance. The last two decades have seen an explosion of new results and research directions, attracting broad interest in the scientific community. The variety and number of different approaches, however, makes it challenging for a newcomer to obtain a big picture of the field and of its high-level goals. Here, fourteen original contributions from leading experts in the field cover some of the most promising research directions that have emerged in the new wave of quantum foundations. The book is directed at researchers in physics, computer science, and mathematics and would be appropriate as the basis of a graduate course in Quantum Foundations.

 

What people are saying - Write a review

LibraryThing Review

User Review  - fpagan - LibraryThing

A multi-authored collection of papers on non-interpretational aspects of the foundations of quantum mechanics, such as relatively intuitive axiomatizations. Most of it is far too technical and ... Read full review

Contents

Introduction
1
Part I Foil Theories
19
Optimal Information Transfer and RealVectorSpace Quantum Theory
21
Almost Quantum Theory
44
Classical Statistical Theories with an Epistemic Restriction
83
Part II Axiomatizations
136
InformationTheoretic Postulates for Quantum Theory
139
Quantum from Principles
171
Some Negative Remarks on Operational Approaches to Quantum Theory
283
Part III Categories and Convex Sets
306
Generalised Compositional Theories and Diagrammatic Reasoning
307
PostClassical Probability Theory
367
Part IV Quantum Versus SuperQuantumCorrelations
421
Information Causality
423
Macroscopic Locality
439
No Quantum Advantage but an Advantage for Quantum Theory
464

Reconstructing Quantum Theory
223
The Classical Limit of a Physical Theory and the Dimensionality of Space
249
The Completeness of Quantum Theory for Predicting Measurement Outcomes
497
Copyright

Other editions - View all

Common terms and phrases