Contents
Preface vii
Part 1: Quantum Information Science
Concentration of Measure Effects in Quantum Information
Patrick Hayden 3
An Introduction to Quantum Error Correction and Fault-Tolerant Quantum
Computation
Daniel Gottesman 13
Part 2: Contributions to Mathematics
Riemannian Geometry of Quantum Computation
Howard E. Brandt 61
Topological Quantum Information Theory
Louis H. Kauffman and Samuel J. Lomonaco, Jr. 103
Quantum Knots and Mosaics
Samuel J. Lomonaco, Jr. and Louis H. Kauffman 177
Quantum Knots and Lattices, or a Blueprint for Quantum Systems that Do
Rope Tricks
Samuel J. Lomonaco, Jr. and Louis H. Kauffman 209
Appendix
A Rosetta Stone for Quantum Mechanics with an Introduction to Quantum
Computation
Samuel J. Lomonaco, Jr. 279
Index
v
343
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