**Contemporary Mathematics**

Volume: 536;
2011;
152 pp;
Softcover

MSC: Primary 81;

Print ISBN: 978-0-8218-4975-0

Product Code: CONM/536

List Price: $62.00

Individual Member Price: $49.60

**Electronic ISBN: 978-0-8218-8215-3
Product Code: CONM/536.E**

List Price: $62.00

Individual Member Price: $49.60

# Cross Disciplinary Advances in Quantum Computing

Share this page *Edited by *
*Kazem Mahdavi; Deborah Koslover; Leonard L. Brown, III*

This volume contains a collection of papers, written by physicists, computer scientists, and mathematicians, from the Conference on Representation Theory, Quantum Field Theory, Category Theory, and Quantum Information Theory, which was held at the University of Texas at Tyler from October 1–4, 2009.

Quantum computing is a field at the interface of the physical sciences, computer sciences and mathematics. As such, advances in one field are often overlooked by practitioners in other fields. This volume brings together articles from each of these areas to make students, researchers and others interested in quantum computation aware of the most current advances. It is hoped that this work will stimulate future advances in the field.

#### Table of Contents

# Table of Contents

## Cross Disciplinary Advances in Quantum Computing

- Contents iii4 free
- Preface v6 free
- List of Participants vii8 free
- Cartan Decomposition and Entangling Power of Braiding Quantum Gates 110 free
- A Unified Approach to Universality for Three Distinct Types of 2-qubit Quantum Computing Devices 1726
- Efficient Algorithm for a Quantum Analogue of 2-SAT 3342
- Quantum Computational Curvature and Jacobi Fields 4958
- A Quantum Model for the Jones Polynomial, Khovanov Homology and Generalized Simplicial Homology 7584
- Oriented Quantum Algebras and Coalgebras, Invariants of Oriented 1-1 Tangles, Knots and Links 95104
- Space and Time Lattices in Frame Fields of Quantum Representations of Real and Complex Numbers 133142

#### Readership

Graduate students and research mathematicians interested in quantum computing.