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Mathematical Foundations of Information Flow [Kõva köide]

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This volume is based on the 2008 Clifford Lectures on Information Flow in Physics, Geometry and Logic and Computation, held March 12-15, 2008, at Tulane University in New Orleans, Louisiana. The varying perspectives of the researchers are evident in the topics represented in the volume, including mathematics, computer science, quantum physics and classical and quantum information. A number of the articles address fundamental questions in quantum information and related topics in quantum physics, using abstract categorical and domain-theoretic models for quantum physics to reason about such systems and to model spacetime. Readers can expect to gain added insight into the notion of information flow and how it can be understood in many settings. They also can learn about new approaches to modeling quantum mechanics that provide simpler and more accessible explanations of quantum phenomena, which don't require the arcane aspects of Hilbert spaces and the cumbersome notation of bras and kets.
Preface vii
H*-algebras and Nonunital Frobenius Algebras: First Steps in Infinite-dimensional Categorical Quantum Mechanics
1(24)
Samson Abramsky
Chris Heunen
Teleportation in General Probabilistic Theories
25(24)
Howard Barnum
Jonathan Barrett
Matthew Leifer
Alexander Wilce
Fixed Points in Epistemic Game Theory
49(12)
Adam Brandenburger
Amanda Friedenberg
H. Jerome Keisler
Spekkenss Toy Theory as a Category of Processes
61(28)
Bob Coecke
Bill Edwards
Categorical Traces From Single-photon Linear Optics
89(36)
Peter Hines
Philip Scott
Compact Affine Monoids, Harmonic Analysis and Information Theory
125(58)
Karl H. Hofmann
Michael Mislove
The Scope of a Quantum Channel
183(30)
Keye Martin
Spacetime Geometry From Causal Structure and a Measurement
213(20)
Keye Martin
Prakash Panangaden
Geometry of Abstraction in Quantum Computation
233
Dusko Pavlovic