Introduction to the book "Quantum Theory: Informational Foundations and Foils"

2012/08/31 by Robert W. Spekkens, Chiribella, Giulio, Giulio Chiribella +5 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · Psychology · #Epistemology #History #Philosophy #Physics #Psychology #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Theoretical physics #cs.IT #cs.LO #math-ph #math.CT #math.IT #math.MP #physics.hist-ph #quant-ph

paper · pdf · doi:10.1007/978-94-017-7303-4

published as Quantum Theory: Informational Foundations and Foils, G. Chiribella and R. W. Spekkens eds (Springer 2015) · 10 pages + links to the ArXiv version of the other book chapters. The arXiv links can also be found at http://qift.weebly.com/quantum-theory-informational-foundations-and-foils.html The printed version of the book can be found at https://www.springer.com/us/book/9789401773027

openalex publication_date 2015/12/09 · openalex created_date 2017/10/20 · arxiv created 2018/08/30 · arxiv updated 2021/09/28 · openalex updated_date 2026/08/05

Abstract

We present here our introduction to the contributed volume "Quantum Theory: Informational Foundations and Foils", Springer Netherlands (2016). It highlights recent trends in quantum foundations and offers an overview of the contributions appearing in the book.

Citations

• Probabilistic theories with purification
• Informational derivation of Quantum Theory
• Disentangling Nonlocality and Teleportation
• In defense of the epistemic view of quantum states: a toy theory
• Quantum Chaos and Quantum-Classical Correspondence
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• A Mathematical Theory of Communication
• Device-Independent Security of Quantum Cryptography against Collective Attacks
• Popescu-Rohrlich Correlations as a Unit of Nonlocality
• Discussion of Probability Relations between Separated Systems
• Irreducible representations of operator algebras
• A single quantum cannot be cloned
• Quantum cryptography based on Bell’s theorem
• "Relative State" Formulation of Quantum Mechanics
• A Toy Model for Quantum Mechanics
• Limited Holism and Real-Vector-Space Quantum Theory
• A fast quantum mechanical algorithm for database search
• Communication by EPR devices
• Limit on Nonlocality in Any World in Which Communication Complexity Is Not Trivial
• Completely positive linear maps on complex matrices
• Nonlocal correlations as an information-theoretic resource
• Hidden Variables and the Two Theorems of John Bell
• On the Einstein Podolsky Rosen paradox
• No extension of quantum theory can have improved predictive power
• Quantum Theory From Five Reasonable Axioms
• Toy quantum categories
• Algorithms for quantum computation: discrete logarithms and factoring
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Quantum Cryptography with Imperfect Apparatus
• Quantum picturalism
• The Logic of Quantum Mechanics
• On the Quantum Correction For Thermodynamic Equilibrium
• Categories for the Working Mathematician
• The Problem of Hidden Variables in Quantum Mechanics

Cited by

• Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories
• Symmetries of quantum evolutions
• A quantum prediction as a collection of epistemically restricted classical predictions

Related

• Coupling ``Classical'' and Quantum Variables
• Compatibility of Quantum Measurements and the Emergence of Classical Objectivity
• Conceptual variables, quantum theory, and statistical inference theory
• Towards quantum mechanics from a theory of experiments
• An epistemic interpretation and foundation of quantum theory