Mathematical Foundations of Information Flow (Proceedings of Symposia in Applied Mathematics) 〈Vol. 71〉

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Mathematical Foundations of Information Flow (Proceedings of Symposia in Applied Mathematics) 〈Vol. 71〉

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  • American Mathematical Society(2012/07発売)
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  • ポイント 192pt
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  • 製本 Hardcover:ハードカバー版/ページ数 270 p.
  • 言語 ENG
  • 商品コード 9780821849231
  • DDC分類 512.62

基本説明

Based on the 2008 Clifford Lectures on Information Flow in Physics, Geometry and Logic and computation, 2008.

Full Description


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.

Table of Contents

Preface                                            vii
H*-algebras and Nonunital Frobenius 1 (24)
Algebras: First Steps in
Infinite-dimensional Categorical Quantum
Mechanics
Samson Abramsky
Chris Heunen
Teleportation in General Probabilistic 25 (24)
Theories
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 61 (28)
Processes
Bob Coecke
Bill Edwards
Categorical Traces From Single-photon 89 (36)
Linear Optics
Peter Hines
Philip Scott
Compact Affine Monoids, Harmonic Analysis 125(58)
and Information Theory
Karl H. Hofmann
Michael Mislove
The Scope of a Quantum Channel 183(30)
Keye Martin
Spacetime Geometry From Causal Structure 213(20)
and a Measurement
Keye Martin
Prakash Panangaden
Geometry of Abstraction in Quantum 233
Computation
Dusko Pavlovic