**Proceedings of Symposia in Applied Mathematics**

Volume: 71;
2012;
267 pp;
Hardcover

MSC: Primary 18; 22; 78; 81; 83; 91;

Print ISBN: 978-0-8218-4923-1

Product Code: PSAPM/71

List Price: $77.00

Individual Member Price: $61.60

**Electronic ISBN: 978-0-8218-9006-6
Product Code: PSAPM/71.E**

List Price: $77.00

Individual Member Price: $61.60

# Mathematical Foundations of Information Flow

Share this page *Edited by *
*Samson Abramsky; Michael Mislove*

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.

#### Readership

Graduate students and research mathematicians interested in computer science, classical and quantum information theory, and the related mathematics and physics.

# Table of Contents

## Mathematical Foundations of Information Flow

- Contents v6 free
- Preface vii8 free
- H*-algebras and Nonunital Frobenius Algebras: First Steps in Infinite-dimensional Categorical Quantum Mechanics 114 free
- Teleportation in General Probabilistic Theories 2538
- Fixed Points in Epistemic Game Theory 4962
- Spekkens's Toy Theory as a Category of Processes 6174
- Categorical Traces From Single-photon Linear Optics 89102
- Compact Affine Monoids, Harmonic Analysis and Information Theory 125138
- The Scope of a Quantum Channel 183196
- Spacetime Geometry From Causal Structure and a Measurement 213226
- Geometry of Abstraction in Quantum Computation 233246