**Contemporary Mathematics**

Volume: 482;
2009;
240 pp;
Softcover

MSC: Primary 81; 68; 37; 20; 57; 47;

Print ISBN: 978-0-8218-4627-8

Product Code: CONM/482

List Price: $83.00

Individual Member Price: $66.40

**Electronic ISBN: 978-0-8218-8161-3
Product Code: CONM/482.E**

List Price: $83.00

Individual Member Price: $66.40

#### Supplemental Materials

# Advances in Quantum Computation

Share this page *Edited by *
*Kazem Mahdavi; Deborah Koslover*

This volume represents the talks given at the Conference on Interactions
between Representation Theory, Quantum Field Theory, Category Theory,
Mathematical Physics, and Quantum Information Theory, held in September 2007
at the University of Texas at Tyler.

The papers in this volume, written by top experts in the field, address
physical aspects, mathematical aspects, and foundational issues of quantum
computation.

This volume will benefit researchers interested in advances in quantum
computation and communication, as well as graduate students who wish to
enter the field of quantum computation.

#### Table of Contents

# Table of Contents

## Advances in Quantum Computation

- Contents iii5 free
- Preface v7 free
- List of Participants vii9 free
- Mathematical Formulations of Atom Trap Quantum Gates 111 free
- Charge Renormalization, Apéry's Number, and the Trefoil Knot 2333
- Braid Group, Temperley–Lieb Algebra, and Quantum Information and Computation 4959
- Poisson Algebras and Yang-Baxter Equations 91101
- Ambiguity in Quantum-theoretical Descriptions of Experiments 107117
- Reference Frame Fields based on Quantum Theory Representations of Real and Complex Numbers 125135
- Two Paradigms for Topological Quantum Computation 165175
- Contraction of Matchgate Tensor Networks on Non-planar Graphs 179189
- Probing Topological Order in Quantum Hall States Using Entanglement Calculations 213223
- Topological Order and Entanglement 219229
- Hierarchical Quantum Search 225235

#### Readership

Graduate students and research mathematicians interested in quantum computations and quantum information theory.